APPLICATION OF REPRODUCING KERNEL METHOD TO A NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION PROBLEM

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Seminar Paper

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Seminar: ANNUAL IRANIAN MATHEMATICS CONFERENCE
Year:2013 | Issue:44

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Title

APPLICATION OF REPRODUCING KERNEL METHOD TO A NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION PROBLEM

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Keywords

REPRODUCING KERNEL

NONLINEAR PARABOLIC PROBLEMS

PARTIAL DIFFERENTIAL EQUATIONS

APPROXIMATED SOLUTION

Abstract

IN THIS PAPER, WE DEAL WITH A NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION (NPPDE) PROBLEM IN ONE DIMENSIONAL SPACE. THE CONDUCTIVITY TERM IS A LINEAR FUNCTION RESPECT TO THE UNKNOWN FUNCTION. USING REPRODUCING KERNEL METHOD, WE OBTAIN AN APPROXIMATED SOLUTION FOR ARBITRARY GRID, WHICH IS DENSE IN COMPUTATIONAL DOMAIN. THEN, WE GIVE SOME NUMERICAL EXAMPLES AND, FINALLY, THE ADVANTAGES AND DISADVANTAGES OF THE METHOD ARE INVESTIGATED.

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APA: Copy

. (2013). APPLICATION OF REPRODUCING KERNEL METHOD TO A NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION PROBLEM. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/924539/en

Vancouver: Copy

. APPLICATION OF REPRODUCING KERNEL METHOD TO A NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION PROBLEM. 2013. Available from: https://sid.ir/paper/924539/en

IEEE: Copy

, “APPLICATION OF REPRODUCING KERNEL METHOD TO A NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION PROBLEM,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/924539/en

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