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Ali Shokri Shokri

Ali Shokri Shokri

Academic rank: Professor
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Education: PhD.
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Faculty: 1
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Research

Title
A new family of three-stage two-step P-stable multiderivative methods with vanished phase-lag and some of its derivatives for the numerical solution of radial Schrodinger equation and IVPs with oscillating solutions
Type
JournalPaper
Keywords
Phase-fitting, Schrodinger equation, Phase-lag, Ordinary differential equations, P-stable, Multiderivative methods
Year
2019
Journal NUMERICAL ALGORITHMS
DOI
Researchers Ali Shokri Shokri ، Mohammad Mehdizadeh ، MORTAZA TAHMOURAS ، Raquel Garcia-Rubio

Abstract

Abstract A new family of three-stage two-step methods are presented in this paper. These methods are of algebraic order 12 and have an important P-stability property. To make these methods, vanishing phase-lag and some of its derivatives have been used. The main structure of these methods are multiderivative, and the combined phases have been applied for expanding stability interval and for achieving P-stability. The advantage of the new methods in comparison with similar methods, in terms of efficiency, accuracy, and stability, has been showed by the implementation of them in some important problems, including the radial time-independent Schrodinger equation during the resonance problems with the use of the Woods-Saxon potential undamped Duffing equation, etc.