A combination of the quasilinearization method and linear barycentric rational interpolation to solve nonlinear multi-dimensional Volterra integral equations
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DOI: 10.1016/j.matcom.2023.01.039
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References listed on IDEAS
- Liu, Hongyan & Huang, Jin & Zhang, Wei & Ma, Yanying, 2019. "Meshfree approach for solving multi-dimensional systems of Fredholm integral equations via barycentric Lagrange interpolation," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 295-304.
- Assari, Pouria & Dehghan, Mehdi, 2019. "A meshless local discrete Galerkin (MLDG) scheme for numerically solving two-dimensional nonlinear Volterra integral equations," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 249-265.
- Sudhakar G. Pandit, 1997. "Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application," International Journal of Stochastic Analysis, Hindawi, vol. 10, pages 1-10, January.
- Laeli Dastjerdi, H. & Nili Ahmadabadi, M., 2017. "The numerical solution of nonlinear two-dimensional Volterra–Fredholm integral equations of the second kind based on the radial basis functions approximation with error analysis," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 545-554.
- Pan, Yubin & Huang, Jin & Ma, Yanying, 2019. "Bernstein series solutions of multidimensional linear and nonlinear Volterra integral equations with fractional order weakly singular kernels," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 149-161.
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Cited by:
- Zare, Farideh & Heydari, Mohammad & Loghmani, Ghasem Barid, 2024. "Convergence analysis of an iterative scheme to solve a family of functional Volterra integral equations," Applied Mathematics and Computation, Elsevier, vol. 477(C).
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Keywords
Multi-dimensional Volterra integral equations; Barycentric interpolation; Quasilinearization technique; Quadratic convergence;All these keywords.
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