High-order numerical solution of second-order one-dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method
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Publication:2804377
DOI10.1002/num.21996zbMath1346.65052arXiv1507.01286OpenAlexW1772313798WikidataQ115398127 ScholiaQ115398127MaRDI QIDQ2804377
Publication date: 29 April 2016
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.01286
pseudospectral methodGauss-Gegenbauer quadratureGegenbauer shifted polynomialsone-dimensional telegraph equation
Initial-boundary value problems for second-order hyperbolic equations (35L20) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) 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) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
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