SOLVING COUPLED PSEUDO-PARABOLIC EQUATION USING A MODIFIED DOUBLE LAPLACE DECOMPOSITION METHOD

Abstract

Abstract: In this paper, the modification of double Laplace decomposition method is proposed for the analytical approximation solution of a coupled system of pseudo-parabolic equation with initial conditions. Some examples are given to support our presented method. In addition, we prove the convergence of double Laplace transform decomposition method applied to our problems.

Key words: double Laplace transform, inverse double Laplace transform, singular parabolic equation, coupled pseudo-parabolic equation, single Laplace transform, decomposition methods

Hassan Eltayeb GADAIN. SOLVING COUPLED PSEUDO-PARABOLIC EQUATION USING A MODIFIED DOUBLE LAPLACE DECOMPOSITION METHOD[J].Acta mathematica scientia,Series B, 2018, 38(1): 333-346.

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References

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