ISOGEOMETRIC SOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

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FARZAM SEYED AMIR; Karamodin Abbas

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Seminar Paper

Paper Information

Seminar: NATIONAL CONGRESS ON CIVIL ENGINEERING
Year:2016 | Issue:9

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Title

ISOGEOMETRIC SOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

Author(s)

FARZAM SEYED AMIR | Karamodin Abbas

Keywords

ISOGEOMETRIC ANALYSIS

NURBS

SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS

Abstract

IN THIS RESEARCH, BASED ON THE CONCEPT OF ISOGEOMETRIC ANALYSIS, AN ALGORITHM IS DEVELOPED FOR SOLVING SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS. IN ISOGEOMETRIC ANALYSIS METHOD, SOLUTION OF DIFFERENTIAL EQUATIONS ARE CONSIDERED AS IMAGINARY CURVES OR SURFACES WHICH ARE CONSTRUCTED BY USING ADVANCED VERSIONS OF SPLINES SUCH AS NON-UNIFORM RATIONAL B-SPLINES (NURBS). IN THE SAME MANNER, COEFFICIENTS OF DIFFERENTIAL EQUATIONS, WHICH THEMSELVES MIGHT BE FUNCTIONS IN GENERAL, CAN BE ASSUMED AS OTHER IMAGINARY CURVES OR SURFACES. AN IGA FRAMEWORK IS CREATED IN MATLAB TO SOLVE PROBLEMS. THE ANALYSIS RESULT IS COMPARED WITH EXACT AND OTHER METHODS SOLUTIONS. FINALLY, THE EFFECT OF DIFFERENT PARAMETERS ON THE SOLUTION OF AN EXAMPLE IS INVESTIGATED.

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APA: Copy

FARZAM, SEYED AMIR, & Karamodin, Abbas. (2016). ISOGEOMETRIC SOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS. NATIONAL CONGRESS ON CIVIL ENGINEERING. SID. https://sid.ir/paper/943436/en

Vancouver: Copy

FARZAM SEYED AMIR, Karamodin Abbas. ISOGEOMETRIC SOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS. 2016. Available from: https://sid.ir/paper/943436/en

IEEE: Copy

SEYED AMIR FARZAM, and Abbas Karamodin, “ISOGEOMETRIC SOLUTION OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS,” presented at the NATIONAL CONGRESS ON CIVIL ENGINEERING. 2016, [Online]. Available: https://sid.ir/paper/943436/en

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