Discrete Galerkin Method for Higher Even-Order Integro-Differential Equations with Variable Coefficients
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
View: 90
This Paper With 9 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_CMDE-3-1_003
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
This paper presents discrete Galerkin method for obtaining the numerical solution of higher even-order integro-differential equations with variable coefficients. We use the generalized Jacobi polynomials with indexes corresponding to the number of homogeneous initial conditions as natural basis functions for the approximate solution. Numerical results are presented to demonstrate the effectiveness and wellposedness of the proposed method. In addition, the results obtained are compared with those obtained by well known Pseudospectral method, thereby confirming the superiority of our proposed scheme.
Keywords:
Discrete Galerkin method , Generalized Jacobi polynomials , Higher even-order Integro-Differential Equations
Authors
Mahdiye Gholipour
Department of Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran
Payam Mokhtary
Department of Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran