Walsh functions and their applications to solving nonlinear fractional Volterra integro-differential equation
عنوان مقاله: Walsh functions and their applications to solving nonlinear fractional Volterra integro-differential equation
شناسه ملی مقاله: JR_IJNAA-12-2_121
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_IJNAA-12-2_121
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
- - - Department of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, Iran
- - - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
- - - Department of Mathematics, Khalkhal Branch, Islamic Azad University, Khalkhal, Iran
خلاصه مقاله:
- - - Department of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, Iran
- - - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
- - - Department of Mathematics, Khalkhal Branch, Islamic Azad University, Khalkhal, Iran
In this article, we extended an efficient computational method based on Walsh operational matrix to find an approximate solution of nonlinear fractional order Volterra integro-differential equation, First, we present the fractional Walsh operational matrix of integration and differentiation. Then by applying this method, the nonlinear fractional Volterra integro-differential equation is reduced into a system of algebraic equation. The benefits of this method are the low-cost of setting up the equations without applying any projection method such as collocation, Galerkin, etc. The results show that the method is very accuracy and efficiency.
کلمات کلیدی: Walsh functions, Operational matrix. Block-pulse functions, Fractional calculus
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1561201/