Two-dimensional wavelets collocation method for electromagnetic waves in dielectric media

DOI10.1016/j.cam.2016.11.026zbMath1361.78004OpenAlexW2560207344MaRDI QIDQ508002

Vineet Kumar Singh, Vijay Kumar Patel, Somveer Singh

Publication date: 9 February 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.11.026

zbMATH Keywords

collocation methodfractional partial differential equationsRiemann-Liouville fractional derivativeChebyshev waveletLegendre waveletoperational matrix of differentiation and integration

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integro-ordinary differential equations (45J05) PDEs in connection with optics and electromagnetic theory (35Q60) Fractional derivatives and integrals (26A33) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Best approximation, Chebyshev systems (41A50) Numerical methods for wavelets (65T60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Diffusion processes (60J60) 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) Waves and radiation in optics and electromagnetic theory (78A40) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

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