1403/10/26
سهراب بزم

سهراب بزم

مرتبه علمی: دانشیار
ارکید:
تحصیلات: دکترای تخصصی
اسکاپوس:
دانشکده: دانشکده علوم پایه
نشانی:
تلفن:

مشخصات پژوهش

عنوان
Numerical solution of nonlinear integral equations using alternative Legendre polynomials
نوع پژوهش
JournalPaper
کلیدواژه‌ها
Volterra–Fredholm–Hammerstein integral equations, Alternative Legendre polynomials, Collocation method, Operational matrices
سال
2016
مجله Journal of Applied Mathematics and Computing
شناسه DOI
پژوهشگران Sohrab Bazm ، Alireza Hosseini

چکیده

In this paper, the operational matrices of integration and the product for the alternative Legendre polynomials (ALPs) are first derived. Then, using these operational matrices and the collocation method, the nonlinear Volterra–Fredholm–Hammerstein integral equations are reduced to a set of nonlinear algebraic equations with unknown ALP coefficients. Some error estimations are provided and the efficiency and accuracy is verified by applying the method to some examples chosen from other literature