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A Collocation Method for Solving Nonlinear Differential Equations via Hybrid of Rationalized Haar Functions. Quarterly Journal of Science Kharazmi University. 2009; 18 (44) :223-231
URL: http://jsci.khu.ac.ir/article-1-1218-en.html
A Collocation Method for Solving Nonlinear Differential Equations via Hybrid of Rationalized Haar Functions
Abstract:   (4615 Views)
Hybrid of rationalized Haar functions are 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.
Keywords: Hybrid, Rationalized Haar functions, Block-pulse functions, Newton-Cotes, Differential equations, Nonlinear, Operational matrix, Orthogonal functions
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Published: 2009/10/15
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