A MODIFIED REDUCED DIFFERENTIAL TRANSFORM METHOD TO DELAY DIFFERENTIAL EQUATIONS USING PADE APPROXIMATION

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Ahmadzadeh Sepideh; Nazemi Alireza; Ghovatmand Mehdi

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Seminar Paper

Paper Information

Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2015 | Issue:46

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Title

A MODIFIED REDUCED DIFFERENTIAL TRANSFORM METHOD TO DELAY DIFFERENTIAL EQUATIONS USING PADE APPROXIMATION

Author(s)

Ahmadzadeh Sepideh | Nazemi Alireza | Ghovatmand Mehdi | Issue Writer Certificate

Keywords

REDUCED DIFFERENTIAL TRANSFORM METHOD

DELAY DIFFERENTIAL EQUATION

LAPLACE TRANSFORM

PADE APPROXIMANT

LAPLACE-PADE RESUMMATION METHOD

Abstract

IN THIS PAPER WE PRESENT AN APPLICATION OF TECHNIQUE COMBINING REDUCED DIFFERENTIAL TRANSFORM METHOD (RDTM), LAPLACE TRANSFORM AND PADE APPROXIMANT TO FIND THE ANALYTICAL SOLUTIONS FOR DDES. SOLUTIONS TO DDES ARE FIRST OBTAINED IN CONVERGENT SERIES FORM USING THE RDTM. TO IMPROVE THE SOLUTION OBTAINED FROM RDTM’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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APA: Copy

Ahmadzadeh, Sepideh, Nazemi, Alireza, & Ghovatmand, Mehdi. (2015). A MODIFIED REDUCED DIFFERENTIAL TRANSFORM METHOD TO DELAY DIFFERENTIAL EQUATIONS USING PADE APPROXIMATION. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/920902/en

Vancouver: Copy

Ahmadzadeh Sepideh, Nazemi Alireza, Ghovatmand Mehdi. A MODIFIED REDUCED DIFFERENTIAL TRANSFORM METHOD TO DELAY DIFFERENTIAL EQUATIONS USING PADE APPROXIMATION. 2015. Available from: https://sid.ir/paper/920902/en

IEEE: Copy

Sepideh Ahmadzadeh, Alireza Nazemi, and Mehdi Ghovatmand, “A MODIFIED REDUCED DIFFERENTIAL TRANSFORM METHOD TO DELAY DIFFERENTIAL EQUATIONS USING PADE APPROXIMATION,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2015, [Online]. Available: https://sid.ir/paper/920902/en

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