The block-by-block method with Romberg quadrature for the solution of nonlinear Volterra integral equations on large intervals

DOI10.1007/s11253-012-0698-xzbMath1259.65215OpenAlexW2060004227MaRDI QIDQ1937939

R. Katani, Sedaghat Shahmorad

Publication date: 1 February 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/164448

zbMATH Keywords

convergencenumerical examplesnonlinear Volterra integral equationsblock-by-block method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)

Related Items (6)

Unnamed Item ⋮ A block-by-block approach for nonlinear fractional integro-differential equations ⋮ A block-by-block method for nonlinear variable-order fractional quadratic integral equations ⋮ A block-by-block strategy for fractional systems of nonlinear weakly singular integro-differential equations ⋮ A hybrid Legendre block-pulse method for mixed Volterra-Fredholm integral equations ⋮ Numerical solution of the Fredholm integral equations with a quadrature method

Cites Work

• A homotopy perturbation algorithm to solve a system of Fredholm-Volterra type integral equations
• Block by block method for the systems of nonlinear Volterra integral equations
• On the heat equation with nonlinear and nonlocal boundary conditions
• Convergence of the Adomian method applied to a class of nonlinear integral equations
• Computational Methods for Integral Equations
• A Method for Solving Nonlinear Volterra Integral Equations of the Second Kind
• Optimal control of n × n parabolic system involving time lag
• The application of approximate product-integration to the numerical solution of integral equations
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