The numerical solution of the one-dimensional heat equation by using third degree B-spline functions-Reference-Cited by-同舟云学术

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

Published:2008-11 Issue:4 Volume:38 Page:1197-1201
ISSN:0960-0779
Container-title:Chaos, Solitons & Fractals
language:en
Short-container-title:Chaos, Solitons & Fractals

Author:

Çağlar Hikmet,Özer Mehmet,Çağlar Nazan

Publisher

Elsevier BV

Subject

General Mathematics,General Physics and Astronomy,Statistical and Nonlinear Physics,Applied Mathematics

Reference15 articles.

1. Conduction of heat in solids;Carslaw,1959

2. The heat equation;Widder,1975

3. The one-dimensional heat equation;Cannon,1984

4. Computational methods for partial differential equations;Twizell,1984

5. The mathematics of financial derivatives: a student introduction;Wilmott,1995

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1. A Robust Quintic Hermite Collocation Method for One-Dimensional Heat Conduction Equation;Journal of Mathematical Sciences and Modelling;2024-08-31

2. Numerical applications of cubic B-spline collocation methods: A systematic review;AIP Conference Proceedings;2024

3. Nonconforming spectral element method: a friendly introduction in one dimension and a short review in higher dimensions;Computational and Applied Mathematics;2023-04

4. A cubic B-spline collocation method with new approximation for the numerical treatment of the heat equation with classical and non-classical boundary conditions;Physica Scripta;2021-02-15

5. Method of moments with a choice of special basic functions for fourth-order partial differential equations;Journal of Physics: Conference Series;2021-02-01

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