A wavelet collocation method based on Gegenbauer scaling function for solving fourth-order time-fractional integro-differential equations with a weakly singular kernel
DOI10.1016/J.APNUM.2022.10.003OpenAlexW4306709696WikidataQ115360223 ScholiaQ115360223MaRDI QIDQ2106214
Publication date: 9 December 2022
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2022.10.003
collocation methodintegro-differential equationserror estimateswaveletGegenbauer polynomialsfractional derivative
Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace transform (44A10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
Uses Software
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