Convergence rate of collocation method based on wavelet for nonlinear weakly singular partial integro‐differential equation arising from viscoelasticity

DOI10.1002/num.22245zbMath1417.65181OpenAlexW2790715563WikidataQ115397964 ScholiaQ115397964MaRDI QIDQ4623405

Somveer Singh, Vijay Kumar Patel, Vineet Kumar Singh

Publication date: 15 February 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.22245

zbMATH Keywords

convergence analysis collocation method partial integro-differential equation operational matrix of integration two dimensional Legendre wavelets

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical methods for wavelets (65T60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Integro-partial differential equations (35R09)

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