Operational matrix approach for the nonlinear Volterra-Fredholm integral equations: Arising in physics and engineering | Zendy

K. Maleknejad | Zendy

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Operational matrix approach for the nonlinear Volterra-Fredholm integral equations: Arising in physics and engineering

Author(s) -

K. Maleknejad

Publication year - 2012

Publication title -

international journal of the physical sciences

Language(s) - English

Resource type - Journals

ISSN - 1992-1950

DOI - 10.5897/ijps11.656

Subject(s) - nonlinear system , integral equation , matrix (chemical analysis) , mathematics , volterra integral equation , physics , calculus (dental) , mathematical analysis , materials science , quantum mechanics , composite material , medicine , dentistry

An approximation method based on hybrid Legendre polynomials and Block-Pulse functions used for the solution of nonlinear Volterra-Fredholm integral equations (NV-FIEs). The operational matrices of these functions 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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