A numerical method of high accuracy for linear parabolic partial differential equations

DOI10.1155/2012/497365zbMath1264.65167OpenAlexW1972473176WikidataQ58911860 ScholiaQ58911860MaRDI QIDQ1954845

Yan Wang, Jun Liu

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/497365

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Cites Work

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• The construction of operational matrix of fractional derivatives using B-spline functions
• Compact optimal quadratic spline collocation methods for the Helmholtz equation
• Numerical solution of Riccati equation using the cubic B-spline scaling functions and Chebyshev cardinal functions
• Optimal superconvergent one step quadratic spline collocation methods
• Quadratic spline collocation for one-dimensional linear parabolic partial differential equations
• \(L_\infty\)-convergence of collocation and Galerkin approximations to linear two-point parabolic problems
• Quadratic spline collocation methods for elliptic partial differential equations
• Numerical solutions of the generalized kuramoto-sivashinsky equation using B-spline functions
• Numerical solution of nonlinear system of second-order boundary value problems using cubic B-spline scaling functions
• Numerical solution of Fokker-Planck equation using the cubic B-spline scaling functions
• Quadratic-spline collocation methods for two-point boundary value problems
• An $O(h^4 )$ Cubic Spline Collocation Method for Quasilinear Parabolic Equations
• The use of cubic B‐spline scaling functions for solving the one‐dimensional hyperbolic equation with a nonlocal conservation condition
• Numerical Methods for Ordinary Differential Equations

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