DOI: 10.5176/2251-3388_1.1.4
Authors: H. Almasieh
Abstract:
A direct method based upon orthogonal triangular functions (TF)s is developed for solving the system of integro differential equations (IDE)s. By using TFs and their properties in obtaining operational matrices of product and integration, the solution of integro-differential equations system can be reduced to the solution of algebraic equations. Some numerical examples illustrate the efficiency of the proposed method. The proposed method can be applied to obtain the solution of both Fredholmand Volterra integro-differential equations.
Keywords: Direct Method, Integro-Differential EquationsSystem, Operational Matrices, Triangular Functions.
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