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Modified treatment of initial boundary value problems for one dimensional heat-like and wave-like equations using Adomian decomposition method | ||
| basrah journal of science | ||
| Article 1, Volume 30, Issue 2, 2012, Pages 86-105 PDF (0 K) | ||
| Author | ||
| Elaf Jaafar Ali | ||
| Abstract | ||
| In this paper, a new technique is applied to modified treatment of initial boundary value problems for one dimensional heat-like and wave-like partial differential equations (ordinary or fractional) by mixed initial and boundary conditions together to obtain a new initial solution at every iteration using Adomian decomposition method (ADM). 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; Adomian decomposition method | ||
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