A numerical approach for solving weakly singular partial integro‐differential equations via two‐dimensional‐orthonormal Bernstein polynomials with the convergence analysis

DOI10.1002/num.22316zbMath1418.65145OpenAlexW2891391206WikidataQ129216996 ScholiaQ129216996MaRDI QIDQ5227268

Farshid Mirzaee, Nasrin Samadyar, Sahar Alipour

Publication date: 25 July 2019

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22316

zbMATH Keywords

error analysis singular integral equation operational matrix method two-dimensional orthonormal Bernstein polynomials

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical differentiation (65D25) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05) Numerical integration (65D30) Singular nonlinear integral equations (45G05) Integro-partial differential equations (35R09)

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