Two‐dimensional shifted Legendre polynomial collocation method for electromagnetic waves in dielectric media via almost operational matrices

DOI10.1002/mma.4257zbMath1373.78454OpenAlexW2569274492MaRDI QIDQ4977834

Vijay Kumar Patel, Somveer Singh, Vineet Kumar Singh

Publication date: 17 August 2017

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.4257

zbMATH Keywords

collocation methodoperational matrix of differentiation and integrationtwo-dimensional shifted Legendre polynomialsFPDEsFPIDEspartial Riemann-Liouville fractional derivative

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Fractional derivatives and integrals (26A33) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Waves and radiation in optics and electromagnetic theory (78A40) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

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