Numerical treatment of moving and free boundary value problems with the tau method
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Publication:1608442
DOI10.1016/S0898-1221(98)00044-3zbMath0999.65110MaRDI QIDQ1608442
Eduardo L. Ortiz, Mohammed Hosseini Ali Abadi
Publication date: 6 August 2002
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Stefan problems, phase changes, etc. (80A22) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic equations (35K15)
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Numerical solution of the nonlinear Volterra integro-differential equations by the tau method, The adaptive operational tau method for systems of ODEs, Numerical solution of the system of nonlinear Volterra integro-differential equations with nonlinear differential part by the operational tau method and error estimation, تحلیل همگرایی حل عددی معادله واکنش-انتشار مرتبه دوم با شرایط مرزی, Polynomial solution of high-order linear Fredholm integro-differential equations with constant coefficients, The performance of a Tau preconditioner on systems of ODEs, Unnamed Item, Optimal error estimates of the Legendre tau method for second-order differential equations, Unnamed Item, On shifted Jacobi spectral method for high-order multi-point boundary value problems, New implementation of the tau method for PDEs., Fibonacci collocation method for solving high-order linear Fredholm integro-differential-difference equations, Tau numerical solution of Fredholm integro-differential equations with arbitrary polynomial bases, Numerical solution of DGLAP equations by the Tau spectral method, Five themes in Chebyshev spectral methods applied to the regularized Charney eigenproblem: extra numerical boundary conditions, a boundary-layer-resolving change of coordinate, parameterizing a curve which is singular at an endpoint, extending the tau method to log-and-polynomials and finding the roots of a polynomial-and-log approximation, A new collocation method for solution of mixed linear integro-differential-difference equations, Solution of high-order linear Fredholm integro-differential equations with piecewise intervals, On the convergence analysis of the Tau method applied to fourth-order partial differential equation based on Volterra-Fredholm integral equations, Study of fourth-order boundary value problem based on Volterra–Fredholm equation: numerical treatment
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