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Development treatment of initial boundary value problems for one dimensional heat-like and wave-like equations using homotopy perturbation method | ||
| Journal of Basrah Researches (Sciences) | ||
| Article 1, Volume 39, Issue 1, 2013, Pages 20-32 PDF (0 K) | ||
| Author | ||
| Elaf Jaafar Ali and Abeer Majeed Jassim | ||
| Abstract | ||
| In this paper, a new technique is applied to develop the treatment of initial boundary value problems for one dimensional heat-like and wave-like partial differential equations [3] (ordinary or fractional) by mixed initial and boundary conditions together to obtain a new initial solution at every iteration using homotopy perturbation method (HPM). The structure of a new successive initial solutions can give a more accurate solution in a first step. | ||
| Keywords | ||
| initial boundary value problems; one dimensional; Heat; like and wave; like partial differential equations; homotopy perturbation method | ||
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