A Survey of HFs Method for Solving Nonlinear Volterra’s IE

Hesam Eldien Derili Gherjalar; A  Shabani  and Mehdi Yousefi

doi:10.17485/ijst/2016/v9i28/81617

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A Survey of HFs Method for Solving Nonlinear Volterra’s IE

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2016/v9i28/81617

Year: 2016, Volume: 9, Issue: 28, Pages: 1-6

Original Article

A Survey of HFs Method for Solving Nonlinear Volterra’s IE

Hesam-Eldien Derili Gherjalar¹ , A. Shabani² and Mehdi Yousefi¹

¹ Department of Mathematics, [email protected]
[email protected]
² Department of Mathematics, [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

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