AN OPTIMAL CONTROL TECHNIQUE FOR SOLVING LINEAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS OF ARBITRARY-ORDER

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ZAREPOUR MAZYAR; Barid Loghmani Ghasem

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Seminar Paper

Paper Information

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

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Title

AN OPTIMAL CONTROL TECHNIQUE FOR SOLVING LINEAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS OF ARBITRARY-ORDER

Author(s)

ZAREPOUR MAZYAR | Barid Loghmani Ghasem | Issue Writer Certificate

Keywords

OPTIMAL CONTROL TECHNIQUE

PARTIAL INTEGRO-DIFFERENTIAL EQUATION

OPTIMIZATION PROBLEM

Abstract

IN THIS PAPER, A NEW NUMERICAL METHOD FOR SOLVING PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS (PIDES) BASED ON AN OPTIMAL CONTROL TECHNIQUE IS PROPOSED. IN THIS METHOD, FIRST THE GIVEN EQUATION IS TRANSFORMED TO AN OPTIMAL CONTROL PROBLEM USUALLY KNOWN AS CONJUGATE PROBLEM. THEN, CONTROL AND STATE VARIABLES ARE APPROXIMATED BY THEIR CHEBYCHEV EXPANSIONS AND THE OBTAINED CONJUGATE PROBLEM IS REDUCED TO AN OPTIMIZATION PROBLEM SUBJECT TO EQUALITY ALGEBRIC CONSTRAINTS. FINALLY, BY USING A PROPER NUMERICAL OPTIMIZATION TECHNIQUE, THE CHEBYCHEV COEFFICIENTS ARE CALCULATED AND THE APPROXIMATE SOLUTION OF THE INITIAL PROBLEM IS ACHIEVED. A NUMERICAL EXAMPLE IS PRESENTED TO ILLUSTRATE THE PERFORMANCE AND ACCURACY OF THE PROPOSED METHOD.

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APA: Copy

ZAREPOUR, MAZYAR, & Barid Loghmani, Ghasem. (2013). AN OPTIMAL CONTROL TECHNIQUE FOR SOLVING LINEAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS OF ARBITRARY-ORDER. ANNUAL IRANIAN MATHEMATICS CONFERENCE. SID. https://sid.ir/paper/924765/en

Vancouver: Copy

ZAREPOUR MAZYAR, Barid Loghmani Ghasem. AN OPTIMAL CONTROL TECHNIQUE FOR SOLVING LINEAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS OF ARBITRARY-ORDER. 2013. Available from: https://sid.ir/paper/924765/en

IEEE: Copy

MAZYAR ZAREPOUR, and Ghasem Barid Loghmani, “AN OPTIMAL CONTROL TECHNIQUE FOR SOLVING LINEAR PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS OF ARBITRARY-ORDER,” presented at the ANNUAL IRANIAN MATHEMATICS CONFERENCE. 2013, [Online]. Available: https://sid.ir/paper/924765/en

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