11 اردیبهشت 1403

محمد مهدی زاده خالسرایی

مرتبه علمی: استاد
نشانی: دانشگاه مراغه-دانشکده علوم پایه
تحصیلات: دکترای تخصصی / ریاضی کاربردی- آنالیز عددی
تلفن:
دانشکده: دانشکده علوم پایه

فعالیت‌های پژوهشی

مقاله چاپ‌شده
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Mohammad Mehdizadeh, Ali Shokri Shokri, Yuanheng Wang Yuanheng Wang, Sohrab Bazm, Giti Navidifar, pari khakzad (2023) Qualitatively Stable Schemes for the Black–Scholes Equation Fractal and Fractional: .2, N.7; 1—14
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Ali Shokri Shokri, Beny Neta, Mohammad Mehdizadeh (2022) A NEW EIGHT-STEP SINGULARLY P-STABLE METHOD FOR THE NUMERICAL SOLUTION OF THE RADIAL SCHR ̈ODINGER EQUATION Twms Journal Of Pure And Applied Mathematics: .13, N.2; 133—143
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Mohammad Mehdizadeh, Ali Shokri Shokri, Higinio Ramos, Shao-Wen Yao, (2022) Efficient Numerical Solutions to a SIR Epidemic Model Mathematics: Volume 10, Issue 18, 3299; 1—15
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Kamsing Nonlaopon, Mohammad Mehdizadeh, Ali Shokri Shokri, (2022) Approximate Solutions for a Class of Predator–Prey Systems with Nonstandard Finite Difference Schemes Symmetry-Basel: Vol.14, No.8; 1—13
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Mohammad Mehdizadeh, Ali Shokri Shokri, Higinio Ramos, Zahra Mohammadnia, pari khakzad (2022) A Positivity-Preserving Improved Nonstandard Finite Difference Method to Solve the Black-Scholes Equation Mathematics: 10; 1—16
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Ali Shokri Shokri, Mohammad Mehdizadeh, Samad Noeiaghdam, Davron Aslonqulovich JURAEV (2022) A NEW DIVIDED DIFFERENCE INTERPOLATION METHOD FOR TWO-VARIABLE FUNCTIONS Global and Stochastic Analysis: 9(2); 19—26
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Mohammad Mehdizadeh, Mohammad Mehdi Rashidi, Ali Shokri Shokri, Higinio Ramos, pari khakzad (2022) A Nonstandard Finite Difference Method for a Generalized Black-Scholes Equation Symmetry-Basel: 14(1); 1—13
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Mohammad Mehdizadeh, Mohammad Shahriari (2022) NONSTANDARD FINITE DIFFERENCE SCHEMES WITH APPLICATION TO BIOLOGICAL MODELS TWMS Journal of Applied and Engineering Mathematics: 1; 347—356
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Mohammad Mehdizadeh, Ali Shokri Shokri, Samad Noeiaghdam, (2021) Nonstandard Finite Difference Schemes for an SIR Epidemic Model Mathematics: Volume 9, Issue 23, 3082; 1—13
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علی شکری، محمد مهدی زاده خالسرایی، مریم مولایی (1400) Nonstandard Dynamically Consistent Numerical Methods for MSEIR Model Journal of Applied and Computational Mechanics: Volume 8, Issue 1; 196—205
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Ali Shokri Shokri, Higinio Ramos, Mohammad Mehdizadeh, Fikret A. Aliev, Martin Bohner (2021) Fourth derivative singularly P-stable method for the numerical solution of the Schrödinger equation Advances in Difference Equations: 2021; 1—16
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Dumitru Baleanu, Mohammad Mehdizadeh, Ali Shokri Shokri, Kamal Kaveh (2021) On the boundedness stepsizes-coefficients of A-BDF methods AIMS Mathematics: Volume 7, Issue 2; 1562—1579
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Ali Shokri Shokri, Mohammad Mehdizadeh, (2021) Dynamically Consistent NSFD Methods for Predator-prey System Journal of Applied and Computational Mechanics: 7(3); 1565—1574
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Mohammad Mehdizadeh, Ali Shokri Shokri, Zahra Mohammadnia, Hamid Mohammad Sedighi (2021) Qualitatively Stable Nonstandard Finite Difference Scheme for Numerical Solution of the Nonlinear Black–Scholes Equation Journal of Mathematics: 2021; 1—12
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Ali Shokri Shokri, Mohammad Mehdizadeh, Hamid Mohammad Sedighi, Ali Atashyar (2021) Numerical simulation of second-order initial-value problems using a new class of variable coefficients and two-step semi-hybrid methods SIMULATION-TRANSACTIONS OF THE SOCIETY FOR MODELING AND SIMULATION INTERNATIONAL: Vol. 97, No. 5; 347—364
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Ali Shokri Shokri, Beny Neta, Mohammad Mehdizadeh, Mohammad Mehdi Rashidi, Hamid Mohammad Sedighi (2021) A Singularly P-Stable Multi-Derivative Predictor Method for the Numerical Solution of Second-Order Ordinary Differential Equations Mathematics: 9; 1—22
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, , Mohammad Mehdizadeh (2021) Monotonicity-preserving splitting schemes for solving balance laws Iranian Journal of Numerical Analysis and Optimization: 11; 73—94
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, , Mohammad Mehdizadeh (2021) Monotonicity-Preserving Lax–Wendroff Scheme for Solving Scalar Hyperbolic Conservation Laws Bulletin of the Iranian Mathematical Society: 47; 1—16
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Ali Shokri Shokri, Mohammad Mehdizadeh (2021) A new implicit high‑order six‑step singularly P‑stable method for the numerical solution of Schrödinger equation JOURNAL OF MATHEMATICAL CHEMISTRY: Vol 59, No. 1; 224—249
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علی شکری، عیاسلی شکری، محمد مهدی زاده خالسرایی، فیروز پاشایی (1399) یک روش جدید دوگامی متقارن ابرشکف P-پایدار از مرتبه جبری دوازدهم برای حل مسائل مقدار اولیه مرتبه دوم پژوهش های نوین در ریاضی: Vol. 6, Issue 27; 127—140
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Mohammad Mehdizadeh, Ali Shokri Shokri, Higinio Ramos, (2020) A positive and elementary stable nonstandard explicit scheme for a mathematical model of the influenza disease MATHEMATICS AND COMPUTERS IN SIMULATION: 182; 397—410
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Mohammad Mehdizadeh, Ali Shokri Shokri, (2020) The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs JOURNAL OF MATHEMATICAL CHEMISTRY: 58; 1987—2012
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Ali Shokri Shokri, Mohammad Mehdizadeh (2020) An efficient four‐step multiderivative method for the numerical solution of second‐order IVPs with oscillating solutions Computational and Mathematical Methods: Volume 2, Issue 5; 1—17
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Ali Shokri Shokri, Mohammad Mehdizadeh (2020) A New Efficient High Order Four-Step Multiderivative Method for the Numerical Solution of Second-Order IVPs with Oscillating Solutions Mathematics Interdisciplinary Research: 5(2); 157—171
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Ali Shokri Shokri, Mohammad Mehdizadeh, Ali Atashyar (2020) A new two-step hybrid singularly P-stable method for the numerical solution of second-order IVPs with oscillating solutions Iranian Journal of Mathematical Chemistry: 11(2); 113—132
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Ali Shokri Shokri, Mohammad Mehdizadeh (2020) A new family of explicit linear two-step singularly P-stable Obrechkoff methods for the numerical solution of second-order IVPs APPLIED MATHEMATICS AND COMPUTATION: Volume 376, 1 July 2020; 1—10
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Mohammad Mehdizadeh, Ali Shokri Shokri (2020) An explicit six-step singularly P-stable Obrechkoffmethod for the numerical solution of second-orderoscillatory initial value problems NUMERICAL ALGORITHMS: Volume 84, Issue 3; 871—886
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Mohammad Mehdizadeh, Ali Shokri Shokri (2020) A New Explicit Singularly P-Stable Four-Step Method for the Numerical Solution of Second-Order IVPs Iranian Journal of Mathematical Chemistry: Vol 11, No. 1; 17—31
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Ali Shokri Shokri, Jesús Vigo-Aguiar, Mohammad Mehdizadeh, Raquel Garcia-Rubio (2020) A new implicit six-step P-stable method for the numerical solution of Schrödinger equation INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS: 2020, VOL. 97, NO. 4,; 802—817
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Mohammad Mehdizadeh, Ali Shokri Shokri (2020) The New Classes of High Order Implicit Six-Step P-Stable Multiderivative Methods for The Numerical Solution of Schrödinger Equation Applied and Computational Mathematics: Vol 19, No. 1; 59—86
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Mohammad Mehdizadeh, Ali Shokri Shokri, (2019) The new high approximation of stiff systems of first order IVPs arising from chemical reactions by k-step L-stable hybrid methods Iranian Journal of Mathematical Chemistry: Volume 10, Issu 2, Summer 2019; 181—193
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Ali Shokri Shokri, Jesús Vigo-Aguiar, Mohammad Mehdizadeh, Raquel Garcia-Rubio (2019) A new class of two-step P-stable TFPL methods for the numerical solution of second-order IVPs with oscillating solutions JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS: Volume 354, July 2019,; 551—561
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Ali Shokri Shokri, Jesús Vigo-Aguiar, Mohammad Mehdizadeh, Raquel Garcia-Rubio (2019) A new four-step P-stable Obrechkoff method with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrödinger equation JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS: Volume 354, July 2019 -; 569—586
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Mohammad Mehdizadeh (2018) Nonstandard explicit third-order Runge-Kutta method with positivity property International Journal of Nonlinear Analysis and Applications: 8; 37—46
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Mohammad Mehdizadeh, Reza Shokri Jahandizi (2017) Efficient Explicit Nonstandard Finite Difference Scheme with Positivity- Preserving Property Gazi University Journal of Science: 30; 259-268
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محمد مهدی زاده خالسرایی، لیلا داوری داوری، شهین حیدری (1395) A Family of Explicit Nonstandard Finite Difference Schemes with Positivity Property for MSEIR Models International Journal of Nonlinear Science: 23; 116-122
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محمد مهدی زاده خالسرایی، نشمیل عثمانی (1395) A FAMILY OF POSITIVE NONSTANDARD NUMERICAL METHODS WITH APPLICATION TO BLACK-SCHOLES EQUATION Sahand Communications in Mathematical Analysis: 5; 31-40
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محمد مهدی زاده خالسرایی، رضا شکری جهاندیزی (1395) A family of positivity preserving schemes for numerical solution of Black–Scholes equation International Journal of Financial Engineering: 3; 1650025-1-1650025-8
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Mohammad Mehdizadeh, , , Reza Shokri Jahandizi (2016) Positivity preserving and elementary stable nonstandard finite difference scheme for the predator-prey model International Journal of Mathematics & Computation: 28; 48-57
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Mohammad Mehdizadeh, Reza Shokri Jahandizi (2016) An efficient nonstandard numerical method with positivity preserving property Journal of Mathematical Modeling: 4; 161-164
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Mohammad Mehdizadeh, (2016) An Explicit Positivity-preserving Finite Difference Scheme for Advection-diffusion Reaction Equations International Journal of Nonlinear Science: 21; 113-120
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Mohammad Mehdizadeh, (2016) Qualitatively Stability of Nonstandard 2-Stage Explicit Runge–Kutta Methods of Order Two Computational Mathematics and Mathematical Physics: 56; 235–242
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Mohammad Mehdizadeh, , (2016) An Explicit Positivity Preserving Scheme: Application to Biological Model Journal of Biology, Agriculture and Healthcare: 6; 90-95
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Mohammad Mehdizadeh (2015) Positivity of an explicit Runge–Kutta method Ain Shams Engineering Journal: 6; 1217-1223
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Mohammad Mehdizadeh, (2015) A modified explicit method for the Black-Scholes equation with positivity preserving property Journal of Mathematics and Computer Science: 15; 299 - 305
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Mohammad Mehdizadeh, (2015) P-Stable Hybrid Super-Implicit Methods for Periodic Initial Value Problems Journal of Mathematics and Computer Science: 16; 129 - 136
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Mohammad Mehdizadeh, (2015) Positivity preserving schemes with application to finance: option pricing Applied mathematics in Engineering, Management and Technology: 3; 212 - 220
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Mohammad Mehdizadeh, (2015) Positivity Preserving Schemes for Black-Scholes Equation Research Journal of Finance and Accounting: 7; 101 - 106
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Mohammad Mehdizadeh, (2015) A NEW CLASS OF L-STABLE HYBRID ONE-STEP METHODS FOR THE NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS Journal of Computer Science and Applied Mathematics: 1; 39 - 44
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Mohammad Mehdizadeh, (2014) A new total variation diminishing implicit nonstandard finite difference scheme for conservation laws Computational Methods for Differential Equations: 2; 85 - 92
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Mohammad Mehdizadeh, (2014) NONSTANDARD FINITE DIFFERENCE SCHEMES FOR DIFFERENTIAL EQUATIONS Sahand Communications in Mathematical Analysis: 1; 47 - 54
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Mohammad Mehdizadeh, (2014) The new class of L-stable hybrid method based on super-future point, for numerical solution of stiff ODEs Mathematical Theory and Modeling: 4; 107 - 112
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Mohammad Mehdizadeh, Sohrab Bazm, (2014) MATRIX FREE SUPER-IMPLICIT SECOND DERIVATIVE MULTISTEP METHODS FOR STIFF INITIAL VALUE PROBLEMS IN ODES Acta Universitatis Apulensis: 35; 529 - 272
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Mohammad Mehdizadeh, (2014) Positivity-preserving nonstandard finite difference schemes for simulation of advection-diffusion reaction equations Computational Methods for Differential Equations: 4; 256 - 267
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Mohammad Mehdizadeh, (2013) 2-stage explicit total variation diminishing preserving RungeKutta methods Computational Methods for Differential Equations: 1; 30 - 38
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Mohammad Mehdizadeh, , (2012) A CLASS OF SECOND DERIVATIVE MULTISTEP METHODS FOR STIFF SYSTEMS Acta Universitatis Apulensis: 30; 171 - 188
مقاله ارائه‌شده
1
Mohammad Mehdizadeh, , Ali Shokri Shokri (2022) Nonstandard finite difference methods for biological model: application to predator-prey system The 8th International Conference on Control and Optimization with Industrial Applications, Azerbaijan, Baku
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Mohammad Mehdizadeh, Ali Shokri Shokri, (2021) The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs. Online international webinar of the Institute of Applied Mathematics, Azerbaijan, Baku
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Mohammad Mehdizadeh, Ali Shokri Shokri, Reza Shokri Jahandizi (2021) Efficient explicit nonstandard finite difference scheme with positivity-preserving propert. Online international webinar of the Institute of Applied Mathematics, Azerbaijan, Baku
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Ali Shokri Shokri, Mohammad Mehdizadeh (2021) P-stability in explicit linear multistep methods Online international webinar of the Institute of Applied Mathematics, Azerbaijan, Baku
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Mohammad Mehdizadeh, Ali Shokri Shokri, pari khakzad (2021) NUMERICAL METHOD FOR OPTION PRICING MODEL 6th Seminar of Mathematics and Humanities, Financial Mathematics, Iran, Tehran
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Mohammad Mehdizadeh, Ali Shokri Shokri, pari khakzad (2021) A COMBINATION OF NON-STANDARD METHOD AND LAPLACE TRANSFORM FOR THE BLACK-SCHOLES EQUATION 6th Seminar of Mathematics and Humanities, Financial Mathematics, Iran, Tehran
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Mohammad Mehdizadeh, Ali Shokri Shokri, pari khakzad (2021) POSITIVE METHOD FOR DISCRETE DOUBLE BARRIER OPTIONS 6th Seminar of Mathematics and Humanities, Financial Mathematics, Iran, Tehran
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Ali Shokri Shokri, Mohammad Mehdizadeh (2020) A NEW EXPLICIT FOUR-STEP PHASE-FITTED METHOD FOR THE NUMERICAL SOLUTION OF SECOND-ORDER IVPS the 7th international conference on control and optimization with industrial applications, Azerbaijan, Baku
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Ali Shokri Shokri, Mohammad Mehdizadeh (2020) AN EFFICIENT EXPLICIT SIX-STEP MULTIDERIVATIVE METHOD FOR THE NUMERICAL SOLUTION OF SECOND-ORDER OSCILLATORY INITIAL VALUE PROBLEMS the 7th international conference on control and optimization with industrial applications, Azerbaijan, Baku
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علی شکری، محمد مهدی زاده خالسرایی، فیروز پاشایی، مجید تیری نظرلو، مرتضی تهمورسی (1397) یک روش جدید دوگامی متقارن ابرشکف برای حل عددی مسائل مقدار اولیه مرتبه دوم چهاردهمین سمینار معادلات دیفرانسیل، سیستم های دینامیکی و کاربردها، ایران¡ زنجان
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علی شکری، محمد مهدی زاده خالسرایی، مرتضی تهمورسی، مجید تیری نظرلو (1397) یک روش دوگامی P-پایدار TFPL برای حل عددی مسائل مقدار اولیه مرتبه دوم چهاردهمین سمینار معادلات دیفرانسیل، سیستم های دینامیکی و کاربردها، ایران¡ زنجان
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Mohammad Mehdizadeh, , Reza Shokri Jahandizi (2017) An elementary stable and positive NSFD scheme The 22th Seminar on Mathematical Analysis and It's Applications, iran, Bonab
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NASHMIL OSMANI, Mohammad Mehdizadeh (2016) A positivity preserving nonstandard nite di erence scheme for solving Black-Scholes equation The 6th Seminar on Numerical Analysis and Its Applications, iran, maragheh
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Mohammad Mehdizadeh (2016) A nonstandard finite difference scheme for a biological model The 6th Seminar on Numerical Analysis and Its Applications, iran, maragheh
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Mohammad Mehdizadeh, (2016) Nonstandard finite difference scheme with positivity property: Application to Cancer growth model The 6th Seminar on Numerical Analysis and Its Applications, iran, maragheh
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محمد مهدی زاده خالسرایی، شهین حیدری (1394) روش­های تفاضل متناهی غیراستاندارد حافظ خاصیت مثبت بودن برای معادلات واکنش-انتقال ششمین همایش علمی تخصصی دانشگاه پیام نور، ایران
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محمد مهدی زاده خالسرایی، شهین حیدری (1394) یک روش تفاضل متناهی غیراستاندارد برای حل مدل اپیدمیک SIR ششمین همایش علمی تخصصی دانشگاه پیام نور، ایران
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Mohammad Mehdizadeh, Reza Shokri Jahandizi, (2014) Efficient positivity preserving scheme for the advection-diffusion equation The 22nd Iranian Seminar of Organic Chemistry, Iran
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Mohammad Mehdizadeh, Mohammad Mehdizadeh, (2014) Numerical solution of predator-prey model , Iran
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Mohammad Mehdizadeh, Mohammad Mehdizadeh, (2014) Discretizations of nonlinear differential equations using NSFDs , Iran
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Mohammad Mehdizadeh, Mohammad Mehdizadeh, (2013) Total variation diminishing results for 2-stage explicit Runge-Kutta methods , Iran
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محمد مهدی زاده خالسرایی، محمد مهدی زاده خالسرایی، مریم مولایی (1392) همگرایی روش های اصلاح خطا برای حل مسائل مقدار اولیه چهارمین همایش علمی تخصصی یاضی، ایران
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محمد مهدی زاده خالسرایی، محمد مهدی زاده خالسرایی، مریم مولایی (1392) الگوریتم ECEM برای حل مسائل سخت بر اساس هم محلی چیبیشف چهارمین همایش علمی تخصصی یاضی، ایران
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Mohammad Mehdizadeh, Sohrab Bazm (2012) Positivity of Heun's explicit third-order method , Iran
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کتاب