Current Proceedings on Technology

Current Proceedings on Technology

New Approach for Solving Hammerstein Integral Equations by Using Hybrid Functions

Yazarlar: Hesamoddin Derili Gherjalar

Cilt - , Sayı 8 , 2015 , Sayfalar -

Konular:-

Anahtar Kelimeler:Nonlinear integral equation,Hybrid functions,Block-pulse functions,Legendre polynomials,Convergence analysis,Collocation Method.

Özet: The numerical solutions to the nonlinear integral equations of Hammerstein-type based on projection methods and Hybrid functions are investigated. A general kernel scheme basing on Hybrid functions combined with a new collocation method is presented. The approach of creating Hybrid functions and their main properties are briefly mentioned. Also we present the uniform convergence analysis and accuracy estimation of hybrid functions (HFs) method for finding the solution of nonlinear HIE. The properties of HFs which consist of block-pulse functions (BPFs) and Legendre polynomials are used to reduce the solution of nonlinear HIE to the solution of nonlinear systems. The rate of approximation solution converging to the exact solution is given. Finally we give some numerical application for showing efficiency of the method. 

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@article{2015, title={New Approach for Solving Hammerstein Integral Equations by Using Hybrid Functions}, number={0}, publisher={Current Proceedings on Technology }, author={Hesamoddin Derili Gherjalar}, year={2015} }
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Hesamoddin Derili Gherjalar. (2015). New Approach for Solving Hammerstein Integral Equations by Using Hybrid Functions. Current Proceedings on Technology .
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Hesamoddin Derili Gherjalar. New Approach for Solving Hammerstein Integral Equations by Using Hybrid Functions. no. 0, Current Proceedings on Technology , 2015.
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