Hybrid functions approach for the nonlinear Volterra–Fredholm integral equations | Zendy

E. Hashemizadeh | Zendy; K. Maleknejad | Zendy; Behrooz Basirat | Zendy

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Hybrid functions approach for the nonlinear Volterra–Fredholm integral equations

Author(s) -

E. Hashemizadeh,

K. Maleknejad,

Behrooz Basirat

Publication year - 2011

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2010.12.192

Subject(s) - integral equation , nonlinear system , volterra integral equation , algebraic equation , fredholm integral equation , convergence (economics) , computer science , legendre polynomials , fredholm theory , mathematics , block (permutation group theory) , mathematical analysis , physics , geometry , quantum mechanics , economic growth , economics

An approximation method based on hybrid Legendre and Block–Pulse functions used for the solution of nonlinear Volterra–Fredholm integral equations (NV-FIEs). These hybrid functions operational matrices are presented and are utilized to reduce a nonlinear Volterra–Fredholm integral equation to a system of nonlinear algebraic equations. In addition, convergence analysis and numerical examples that illustrate the pertinent features of the method are presented

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