Numerical Solution of the One-Dimensional Heat Equation by Using Chebyshev Wavelets Method

Journal of Applied & Computational Mathematics ◽

10.4172/2168-9679.1000122 ◽

2012 ◽

Vol 01 (06) ◽

Author(s):

Hooshmandasl M Heydari M.H

Keyword(s):

Heat Equation ◽

Numerical Solution ◽

Chebyshev Wavelets ◽

One Dimensional ◽

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Maximum norm contractivity in the numerical solution of the one-dimensional heat equation

Applied Numerical Mathematics ◽

10.1016/s0168-9274(99)00007-0 ◽

1999 ◽

Vol 31 (4) ◽

pp. 451-462 ◽

Author(s):

Róbert Horváth

Keyword(s):

Heat Equation ◽

Numerical Solution ◽

Maximum Norm ◽

One Dimensional ◽

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A Chebyshev method for the numerical solution of the one-dimensional heat equation

10.1145/800196.805982 ◽

1967 ◽

Author(s):

John C. Mason

Keyword(s):

Heat Equation ◽

Numerical Solution ◽

One Dimensional ◽

Chebyshev Method ◽

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Numerical solution of the one-dimensional heat equation on the bounded intervals using fundamental solutions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20296 ◽

2007 ◽

Vol 24 (3) ◽

pp. 911-923 ◽

Author(s):

Mehdi Tatari ◽

Mehdi Dehghan ◽

Mohsen Razzaghi

Keyword(s):

Heat Equation ◽

Numerical Solution ◽

Fundamental Solutions ◽

One Dimensional ◽

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The numerical solution of the one-dimensional heat equation by using third degree B-spline functions

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2007.01.056 ◽

2008 ◽

Vol 38 (4) ◽

pp. 1197-1201 ◽

Author(s):

Hikmet Çağlar ◽

Mehmet Özer ◽

Nazan Çağlar

Keyword(s):

Heat Equation ◽

Numerical Solution ◽

Spline Functions ◽

B Spline ◽

One Dimensional ◽

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Numerical solution of the one-dimensional Burgers’ equation: Implicit and fully implicit exponential finite difference methods

Pramana ◽

10.1007/s12043-013-0599-z ◽

2013 ◽

Vol 81 (4) ◽

pp. 547-556 ◽

Author(s):

BILGE INAN ◽

AHMET REFIK BAHADIR

Keyword(s):

Finite Difference ◽

Numerical Solution ◽

Burgers Equation ◽

Finite Difference Methods ◽

One Dimensional ◽

Fully Implicit ◽

Difference Methods ◽

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THE ONE-DIMENSIONAL HEAT EQUATION: (Encyclopedia of Mathematics and Its Applications, 23)

Bulletin of the London Mathematical Society ◽

10.1112/blms/17.6.622 ◽

1985 ◽

Vol 17 (6) ◽

pp. 622-623

Author(s):

A. Jeffrey

Keyword(s):

Heat Equation ◽

One Dimensional ◽

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New Method for Rapid Numerical Solution of the One-Dimensional Schrödinger Equation

Physical Review Letters ◽

10.1103/physrevlett.29.1350 ◽

1972 ◽

Vol 29 (19) ◽

pp. 1350-1353 ◽

Author(s):

William I. Newman ◽

Walter R. Thorson

Keyword(s):

Schrödinger Equation ◽

Numerical Solution ◽

Schrodinger Equation ◽

One Dimensional ◽

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An alternative explicit expression of the kernel of the one dimensional heat equation with Dirichlet conditions

Applied Mathematics Letters ◽

10.1016/j.aml.2018.10.003 ◽

2019 ◽

Vol 89 ◽

pp. 97-102

Author(s):

Alberto Cabada

Keyword(s):

Heat Equation ◽

Explicit Expression ◽

Dirichlet Conditions ◽

One Dimensional ◽

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A method for the numerical solution of the one-dimensional hydrodynamic equations of a two-phase gas-liquid mixture

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(88)90179-6 ◽

1988 ◽

Vol 28 (3) ◽

pp. 71-78

Author(s):

M.V. Khazanov

Keyword(s):

Numerical Solution ◽

Liquid Mixture ◽

Hydrodynamic Equations ◽

Two Phase ◽

One Dimensional ◽

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On the Reachable Set for the One-Dimensional Heat Equation

SIAM Journal on Control and Optimization ◽

10.1137/16m1093215 ◽

2018 ◽

Vol 56 (3) ◽

pp. 1692-1715 ◽

Author(s):

Jérémi Dardé ◽

Sylvain Ervedoza

Keyword(s):

Heat Equation ◽

Reachable Set ◽

One Dimensional ◽

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