A Cubic Spline Technique for the One Dimensional Heat Conduction Equation

DOI10.1093/imamat/11.1.111zbMath0264.65056OpenAlexW2121504607MaRDI QIDQ5680960

N. Papamichael, J. R. Whiteman

Publication date: 1973

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

Full work available at URL: http://bura.brunel.ac.uk/handle/2438/2280

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (12)

High accuracy non-polynomial spline in compression method for one-space dimensional quasi-linear hyperbolic equations with significant first order space derivative term ⋮ A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations ⋮ A new three-level implicit cubic spline method for the solution of 1D quasi-linear hyperbolic equations ⋮ Spline function approximation for differential equations ⋮ High accuracy cubic spline finite difference approximation for the solution of one-space dimensional non-linear wave equations ⋮ The spline alternating group explicit (splage) method ⋮ New nonpolynomial spline in compression method of \(O(k^2+k^4)\) for the solution of 1D wave equation in polar coordinates ⋮ Viscous flow solutions with a cubic spline approximation ⋮ Polynomial interpolation methods for viscous flow calculations ⋮ High-accuracy cubic spline alternating group explicit methods for 1D quasi-linear parabolic equations† ⋮ A variable mesh C-SPLAGE method of accuracy \(O(k^2h_l^{-1}+kh_l+h_l^3)\) for 1D nonlinear parabolic equations ⋮ The spline alternating group explicit (splage) method for two dimensional problems

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