Hypercomplex mathematics and HPM for the time-delayed Burgers equation with convergence analysis |
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| Authors: | Davood Rostamy K Karimi |
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| Institution: | 1.Department of Mathematics,Imam Khomeini International University,Qazvin,Iran;2.Department of Mathematics,Islamic Azad University,Tehran,Iran |
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| Abstract: | We investigate the analytical and numerical solutions of the time-delayed Burgers equation, by applying the idea of commutative
hypercomplex mathematics and the homotopy perturbation method. Moreover, we discuss at great length the convergence conditions
of the homotopy perturbation Method (HPM) by using the Banach fixed point theory , which could provide a good iteration algorithm.
Finally, we also give some numerical illustrations to the obtained results. |
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