Approximate Solutions of Delay Differential Equations with Constant and Variable Coefficients by the Enhanced Multistage Homotopy Perturbation Method
Autor: | DANIEL OLVERA TREJO, 269684, ALEX ELIAS ZUÑIGA, 19150, CIRO ANGEL RODRIGUEZ GONZALEZ, 20794 |
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Jazyk: | angličtina |
Rok vydání: | 2015 |
Předmět: |
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Article Subject Applied Mathematics lcsh:Mathematics Mathematical analysis CPU time Delay differential equation lcsh:QA1-939 Numerical integration 7 INGENIERÍA Y TECNOLOGÍA Homotopy perturbation method MATLAB Constant (mathematics) computer Analysis Variable (mathematics) Mathematics computer.programming_language |
Zdroj: | Abstract and Applied Analysis, Vol 2015 (2015) Abstr. Appl. Anal. Abstract and Applied Analysis |
ISSN: | 1687-0409 1085-3375 |
Popis: | We expand the application of the enhanced multistage homotopy perturbation method (EMHPM) to solve delay differential equations (DDEs) with constant and variable coefficients. This EMHPM is based on a sequence of subintervals that provide approximate solutions that require less CPU time than those computed from the dde23 MATLAB numerical integration algorithm solutions. To address the accuracy of our proposed approach, we examine the solutions of several DDEs having constant and variable coefficients, finding predictions with a good match relative to the corresponding numerical integration solutions. © 2015 D. Olvera et al. |
Databáze: | OpenAIRE |
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