The Numerical Solution of Klein-Gorden Equation by Using Nonstandard Finite Difference
Publish Year: 1398
Type: Journal paper
Language: English
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Document National Code:
JR_IJMAC-9-3_001
Index date: 17 January 2023
The Numerical Solution of Klein-Gorden Equation by Using Nonstandard Finite Difference abstract
In this paper we propose a numerical scheme to solve the one dimensional nonlinear Klein-Gorden equation. We describe the mathematical formulation procedure in details. The scheme is three level explicit and based on nonstandard finite difference. It has nonlinear denominator function of the step sizes. Stability analysis of the method has been given and we prove that the proposed method when applied to one dimensional nonlinear Klein-Gorden equation, is unconditionally stable. We illustrate the usefulness of the proposed method by applying it on two examples.
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The Numerical Solution of Klein-Gorden Equation by Using Nonstandard Finite Difference authors
Hoda Shekarabi
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran ۱۶۸۴۶۱۳۱۱۴, Iran
Jalil Rashidinia
School of Mathematics, Iran University of Science and Technology, Narmak, Tehran ۱۶۸۴۶۱۳۱۱۴, Iran