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2011•Unpublished venueRequires access

Application of Laplace−Adomian Decomposition Method on Linear and Nonlinear System of PDEs

Jasem Fadaei

Open publisher page 32 citations

Abstract

In this paper, a numerical Laplace transform algorithm which is based on the Adomian decomposition method (LADM) is introduced for the approximate solution of the linear and nonlinear systems of partial differential equations. Illustrative examples are included to demonstrate the high accuracy and fast convergence of our method. Mathematics Subject Classification: 45A05, 45B05, 45D05 and 45J05

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What this paper is about

In this paper, a numerical Laplace transform algorithm which is based on the Adomian decomposition method (LADM) is introduced for the approximate solution of the linear and nonlinear systems of partial differential equations. Illustrative examples are included to demonstrate the high accuracy and fast convergence of our method. Mathematics Subject Classification: 45A05, 45B05, 45D05 and 45J05

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OpenAlex reports 32 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this paper, a numerical Laplace transform algorithm which is based on the Adomian decomposition method (LADM) is introduced for the approximate solution of the linear and nonlinear systems of partial differential equations. Illustrative examples are included to demonstrate the high accuracy and fast convergence of our method. Mathematics Subject Classification: 45A05, 45B05, 45D05 and 45J05

Key concepts: Adomian decomposition method, Laplace transform, Mathematics, Nonlinear system, Laplace transform applied to differential equations, Partial differential equation, Applied mathematics, Convergence (economics)

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