ON THE LAPLACE TRANSFORM DECOMPOSITION ALGORITHM FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS

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VAHIDI A.R.; ASADI CORDSHOOLI GH.

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2011 | Volume:3 | Issue:1 Page(s): 17-23

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Title

ON THE LAPLACE TRANSFORM DECOMPOSITION ALGORITHM FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS

Author(s)

VAHIDI A.R. | ASADI CORDSHOOLI GH. | Issue Writer Certificate

Keywords

ADOMIAN DECOMPOSITION METHOD

LAPLACE TRANSFORM DECOMPOSITION ALGORITHM

BRATU’S PROBLEM

DUFFING’S EQUATION

Abstract

In this paper, we present a comparative study between the ADOMIAN DECOMPOSITION METHOD (ADM) and the LAPLACE TRANSFORM DECOMPOSITION ALGORITHM (LTDA) for solving nonlinear differential equations. For the Bratu’s boundary value problem and the DUFFING’S EQUATION, we show that the LTDA is equivalent to the ADM.

Cites

References

A LAPLACE DECOMPOSITION ALGORITHM APPLIED TO A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS

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APA: Copy

VAHIDI, A.R., & ASADI CORDSHOOLI, GH.. (2011). ON THE LAPLACE TRANSFORM DECOMPOSITION ALGORITHM FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 3(1), 17-23. SID. https://sid.ir/paper/584713/en

Vancouver: Copy

VAHIDI A.R., ASADI CORDSHOOLI GH.. ON THE LAPLACE TRANSFORM DECOMPOSITION ALGORITHM FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2011;3(1):17-23. Available from: https://sid.ir/paper/584713/en

IEEE: Copy

A.R. VAHIDI, and GH. ASADI CORDSHOOLI, “ON THE LAPLACE TRANSFORM DECOMPOSITION ALGORITHM FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 3, no. 1, pp. 17–23, 2011, [Online]. Available: https://sid.ir/paper/584713/en

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