High order numerical algorithms based on biquadratic spline collocation for two-dimensional parabolic partial differential equations-Reference-Cited by-同舟云学术

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High order numerical algorithms based on biquadratic spline collocation for two-dimensional parabolic partial differential equations

Published:2018-02-16 Issue:3 Volume:96 Page:500-536
ISSN:0020-7160
Container-title:International Journal of Computer Mathematics
language:en
Short-container-title:International Journal of Computer Mathematics

Author:

Liu Jun¹,Guo Hui¹,Jiang Yao-Lin²³,Wang Yan¹

Affiliation:

1. College of Science, China University of Petroleum, Qingdao, Shandong, China

2. College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang, China

3. Department of Mathematical Sciences, Xi'an Jiaotong University, Xi'an, Shaanxi, China

Funder

National Natural Science Foundation of China

Shandong Provincial Natural Science Foundation

Fundamental Research Funds for the Central Universities

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications

Link

https://www.tandfonline.com/doi/pdf/10.1080/00207160.2018.1437260

Reference31 articles.

1. A collocation method for the numerical solution of a two dimensional integral equation using a quadratic spline quasi-interpolant

2. An $O(h^4 )$ Cubic Spline Collocation Method for Quasilinear Parabolic Equations

3. An Orthogonal Spline Collocation Alternating Direction Implicit Crank--Nicolson Method for Linear Parabolic Problems on Rectangles

4. An Alternating Direction Implicit Backward Differentiation Orthogonal Spline Collocation Method for Linear Variable Coefficient Parabolic Equations

5. Optimal superconvergent one step quadratic spline collocation methods

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1. Geophysical Application for Splines;Signal Processing Applications Using Multidimensional Polynomial Splines;2018-12-08

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