Numerical solution of nonlinear mixed Volterra-Fredholm integro-differential equations by two-dimensional block-pulse functions

• Main Authors: M. Safavi, A.A. Khajehnasiri
• Format: Article
• Language: English
• Published: Taylor & Francis Group 2018-01-01
• Series: Cogent Mathematics & Statistics
• Subjects: two-dimensional volterra–fredholm integral equations; operational matrix; nonlinear equations; two-dimensional block-pulse functions
• Online Access: http://dx.doi.org/10.1080/25742558.2018.1521084

This paper proposed an effective numerical method to obtain the solution of nonlinear two-dimensional mixed Volterra-Fredholm integro-differential equations. For this purpose, the two-dimensional block-pulse functions (2D-BPFs) operational matrix of integration and differentiation has been presented. The 2D-BPFs method converts nonlinear two-dimensional mixed Volterra-Fredholm integro-differential equations to an algebraic system of equations which is computable as well. Error analysis and some numerical examples are presented to illustrate the effectiveness and accuracy of the method.