A novel numerical method and its convergence for nonlinear delay Volterra integro-differential equations |
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Authors: | Mostafa Mahmoudi Mehdi Ghovatmand Mohammad Hadi Noori Skandari |
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Affiliation: | Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran |
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Abstract: | In this paper, we suggest a convergent numerical method for solving nonlinear delay Volterra integro-differential equations. First, we convert the problem into a continuous-time optimization problem and then use a shifted pseudospectral method to discrete the problem. Having solved the last problem, we can achieve the pointwise and continuous approximate solutions for the main delay Volterra integro-differential equations. Here, we analyze the convergence of the method and solve some numerical examples to show the efficiency of the method. |
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Keywords: | delay Volterra integro-differential equations nonlinear programming pseudospectral method |
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