Indian Journal of Science and Technology
Year: 2016, Volume: 9, Issue: 28, Pages: 1-6
Hesam-Eldien Derili Gherjalar1 , A. Shabani2 and Mehdi Yousefi1
Background/Objectives: The numerical results to the nonlinear IE of Volterra’s-typebased on projection methods and Hybrid functions are investigated. Methods/Statistical Analysis: In this work, Hybrid functions with a new collocation method is presented. The method of creating HFs are briefly mentioned. Findings: The numerical results confirm that, Hybrid Functions (HFs) method is comparable with other famous techniques. Applications/Improvements: In future, with using another projection method such as Galerk in method and etc., this approach can be modified for Functional IE and IDEs.
Keywords: Block-pulse Functions, Collocation Method, Legendre Polynomials, Nonlinear Integral Equation
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