A MATRIX METHOD FOR NUMERICAL SOLUTION OF DIFFERENTIAL-DIFFERENCE EQUATIONS

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BASIRAT BEHROOZ; SHAHDADI MOHAMMAD AMIN

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

Seminar Paper

Paper Information

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

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Title

A MATRIX METHOD FOR NUMERICAL SOLUTION OF DIFFERENTIAL-DIFFERENCE EQUATIONS

Author(s)

BASIRAT BEHROOZ | SHAHDADI MOHAMMAD AMIN | Issue Writer Certificate

Keywords

DIFERENTIAL-DIFFERENCE EQUATION

BERNSTEIN POLYNOMIAL

OPERATIONAL MATRIX

Abstract

IN THIS PAPER, WE PRESENT A MATRIX METHOD FOR SOLVING DIFFERENTIAL-DIFFERENCE EQUATIONS (DDES) UNDER MIXED CONDITIONS IN TERMS OF BERNSTEIN POLYNOMIALS ON THE INTERVAL [A, B]. THE DIFFERENTIAL PART IS APPROXIMATED IN THE FORM OF MATRICES' EQUATIONS BY OPERATIONAL MATRICES OF BERNSTEIN POLYNOMIALS. FINALLY, THE MAIN EQUATION IS TRANSFORMED INTO AN ALGEBRAIC EQUATIONS SYSTEM, AND THE UNKNOWN OF THE MAIN EQUATION IS THEN APPROXIMATED.

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APA: Copy

BASIRAT, BEHROOZ, & SHAHDADI, MOHAMMAD AMIN. (2013). A MATRIX METHOD FOR NUMERICAL SOLUTION OF DIFFERENTIAL-DIFFERENCE EQUATIONS. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/924588/en

Vancouver: Copy

BASIRAT BEHROOZ, SHAHDADI MOHAMMAD AMIN. A MATRIX METHOD FOR NUMERICAL SOLUTION OF DIFFERENTIAL-DIFFERENCE EQUATIONS. 2013. Available from: https://sid.ir/paper/924588/en

IEEE: Copy

BEHROOZ BASIRAT, and MOHAMMAD AMIN SHAHDADI, “A MATRIX METHOD FOR NUMERICAL SOLUTION OF DIFFERENTIAL-DIFFERENCE EQUATIONS,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/924588/en

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