Walsh functions and their applications to solving nonlinear fractional Volterra integro-differential equation | ||
| International Journal of Nonlinear Analysis and Applications | ||
| دوره 12، شماره 2، بهمن 2021، صفحه 1577-1589 اصل مقاله (506.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.19846.2108 | ||
| نویسندگان | ||
| Amirahmad Khajehnasiri1؛ Reza Ezzati* 2؛ Akbar Jafari Shaerlar3 | ||
| 1Department of Mathematics, North Tehran Branch, Islamic Azad University, Tehran, Iran | ||
| 2Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran | ||
| 3Department of Mathematics, Khalkhal Branch, Islamic Azad University, Khalkhal, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Walsh functions؛ Operational matrix. Block-pulse functions؛ Fractional calculus | ||
| مراجع | ||
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