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Numerical Solution of Partial Integro-Differential Equations by using Projection Method

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Abstract

In this paper we study the numerical solution of initial-boundary problem for parabolic Volterra integro-differential equations in one dimensional. These equations include the partial differentiation of an unknown function and the integral term containing the unknown function which is the memory of problem. We have made an attempt to develop a method for Wavelet Galerkin which provides the approximate solution. Some numerical examples are presented to illustrate the efficiency and accuracy of the proposed method.

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Correspondence to Khosrow Maleknejad.

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Rostami, Y., Maleknejad, K. Numerical Solution of Partial Integro-Differential Equations by using Projection Method. Mediterr. J. Math. 14, 113 (2017). https://doi.org/10.1007/s00009-017-0904-z

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  • DOI: https://doi.org/10.1007/s00009-017-0904-z

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