A COLLOCATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS VIA HYBRID OF RATIONALIZED HAAR FUNCTIONS

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ORDOUKHANI Y.A.

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Journal: JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY) Year:2007 | Volume:7 | Issue:3-4 Page(s): 223-232

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Title

A COLLOCATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS VIA HYBRID OF RATIONALIZED HAAR FUNCTIONS

Author(s)

ORDOUKHANI Y.A. | Issue Writer Certificate

Keywords

HYBRIDQ4

RATIONALIZED HAAR FUNCTIONSQ4

BLOCK-PULSE FUNCTIONSQ4

NEWTON-COTESQ4

DIFFERENTIAL EQUATIONSQ4

NONLINEARQ4

OPERATIONAL MATRIXQ4

ORTHOGONAL FUNCTIONSQ4

Abstract

HYBRID of RATIONALIZED HAAR FUNCTIONS is developed to approximate the solution of the DIFFERENTIAL EQUATIONS. The properties of HYBRID functions which are the combinations of BLOCK-PULSE FUNCTIONS and RATIONALIZED HAAR FUNCTIONS are first presented. These properties together with the NEWTON-COTES nodes are then utilized to reduce the DIFFERENTIAL EQUATIONS to the solution of algebraic equations. The method is computationally attractive, and applications are demonstrated through illustrative examples.

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APA: Copy

ORDOUKHANI, Y.A.. (2007). A COLLOCATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS VIA HYBRID OF RATIONALIZED HAAR FUNCTIONS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), 7(3-4), 223-232. SID. https://sid.ir/paper/44145/en

Vancouver: Copy

ORDOUKHANI Y.A.. A COLLOCATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS VIA HYBRID OF RATIONALIZED HAAR FUNCTIONS. JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY)[Internet]. 2007;7(3-4):223-232. Available from: https://sid.ir/paper/44145/en

IEEE: Copy

Y.A. ORDOUKHANI, “A COLLOCATION METHOD FOR SOLVING NONLINEAR DIFFERENTIAL EQUATIONS VIA HYBRID OF RATIONALIZED HAAR FUNCTIONS,” JOURNAL OF SCIENCE (KHARAZMI UNIVERSITY), vol. 7, no. 3-4, pp. 223–232, 2007, [Online]. Available: https://sid.ir/paper/44145/en

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