Laplace Transform and Homotopy Perturbation Methods for Solving the Pseudohyperbolic Integrodifferential Problems with Purely Integral Conditions
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Authors: A. NECIB AND A. MERAD
DOI: 10.46793/KgJMat2002.251N
Abstract:
In this paper we defined and investigated the various properties of a class of pseudohyperbolic equation defined on purely integral (nonlocal) conditions. We proved the uniqueness and the existence of the solution using energy inequality (A priori estimates). We found a semi analytical solution using the Laplace transform and Stehfest algorithm method. Next, we used another method called the Homotopy perturbation. Finally, we give some examples for illustration.
Keywords:
Pseudohyperbolic integrodifferential equation, a priori estimate, Laplace transform method, Stehfest algorithm, homotopy perturbation method.
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