On some iterative numerical methods for a Volterra functional integral equation of the second kind

DOI10.1007/s11784-016-0336-6zbMath1382.65471OpenAlexW2534904951MaRDI QIDQ1687160

Sanda Micula

Publication date: 22 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0336-6

zbMATH Keywords

error estimatenonlinear Volterra integral equationnumerical experimenttrapezoidal rulePicard's successive approximations

Mathematics Subject Classification ID

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

Related Items (9)

Analytical discussion for the mixed integral equations ⋮ Solvability of quadratic integral equations with singular kernel ⋮ A computational approach for solving fractional integral equations based on Legendre collocation method ⋮ A combination method for solving multi-dimensional systems of Volterra integral equations with weakly singular kernels ⋮ Application of Bernstein polynomials for solving Fredholm integro-differential-difference equations ⋮ Iterative Processes and Integral Equations of the Second Kind ⋮ A study of normality and continuity for mixed integral equations ⋮ ANALYTICAL RESULTS FOR QUADRATIC INTEGRAL EQUATIONS WITH PHASE-CLAG TERM ⋮ An efficient method for mixed integral equations with phase lag

Cites Work

• Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations
• An efficient computational method for solving nonlinear stochastic Itô integral equations: application for stochastic problems in physics
• Iterative approximation of fixed points
• Fibre Picard operators on gauge spaces and applications
• The analytical solution of some fractional ordinary differential equations by the Sumudu transform method
• A class of abstract Volterra equations, via weakly Picard operators technique
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