A block pulse operational matrix method for solving two-dimensional nonlinear integro-differential equations of fractional order

[摘要] In this paper, we use two-dimensional block pulse functions (2D-BPFs) and their operational matrix for integration and fractional integration, to reduce two-dimensional fractional integro-differential equations (2D-FIDEs) to a system of nonlinear algebraic equations. The solution is determined by solving this system. Also by two theorems, we prove the convergence of the proposed method. Finally, the numerical solutions guarantee the desired accuracy and efficiency. (C) 2017 Elsevier B.V. All rights reserved.

[发布日期] 2017-12-15

[关键词] Two-dimensional fractional integro-differential equations;Two-dimensional block pulse functions;Fractional operational matrix;Nonlinear equations