Journal Paper

Paper Information

Journal: گستره ریاضی
Year:1386 | Volume:1 | Issue:2
Start Page:81 | End Page:96

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Information Journal Paper

Title

THE FIRST SURVEY FOR ABILITIES OF WAVELETS IN SOLVING OPTIMAL CONTROL PROBLEMS BY EMBEDDING METHODS

Pages

 Start Page 81 | End Page 96

Abstract

 By a brief review on the applications of WAVELETs in solving OPTIMAL CONTROL problems, a MULTI RESOLUTION ANALYSIS for two dimensional Sobolev spaces and the square spline WAVELETs are considered. Regarding the density and approximation properties of these WAVELETs, for the first time, they are employed for solving OPTIMAL CONTROL problems by embedding method. Existence and the determination way for the solution are also discussed. Finally, the abilities of the new approach are explained by a numerical example and some comparisons.

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