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Information Seminar Paper

Title

A MODIFICATION OF ADOMIAN DECOMPOSITION METHOD TO DELAY DIFFERENTIAL EQUATIONS USING PADE APPROXIMATION

Pages

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Abstract

 IN THIS PAPER WE PRESENT AN APPLICATION OF TECHNIQUE COMBINING ADOMIAN DECOMPOSITION METHOD (ADM), LAPLACE TRANSFORM AND PADE APPROXIMANT TO FIND THE ANALYTICAL SOLUTIONS FOR DELAY DIFFERENTIAL EQUATIONS (DDE). SOLUTIONS TO DDES ARE FIRST OBTAINED IN CONVERGENT SERIES FORM USING THE ADM. THEN OBTAINED FROM ADM’S TRUNCATED SERIES, WE APPLY LAPLACE TRANSFORM TO IT, THEN CONVERT THE TRANSFORMED SERIES INTO A MEROMORPHIC FUNCTION BY FORMING ITS PADE APPROXIMANT. FINALLY, WE TAKE THE INVERSE LAPLACE TRANSFORM OF THE PADE APPROXIMANT TO OBTAIN THE ANALYTICAL SOLUTION.

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  • Cite

    APA: Copy

    Ahmadzadeh, Sepideh, Nazemi, Alireza, & Ghovatmand, Mehdi. (2015). A MODIFICATION OF ADOMIAN DECOMPOSITION METHOD TO DELAY DIFFERENTIAL EQUATIONS USING PADE APPROXIMATION. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/920825/en

    Vancouver: Copy

    Ahmadzadeh Sepideh, Nazemi Alireza, Ghovatmand Mehdi. A MODIFICATION OF ADOMIAN DECOMPOSITION METHOD TO DELAY DIFFERENTIAL EQUATIONS USING PADE APPROXIMATION. 2015. Available from: https://sid.ir/paper/920825/en

    IEEE: Copy

    Sepideh Ahmadzadeh, Alireza Nazemi, and Mehdi Ghovatmand, “A MODIFICATION OF ADOMIAN DECOMPOSITION METHOD TO DELAY DIFFERENTIAL EQUATIONS USING PADE APPROXIMATION,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/920825/en

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