Fully Legendre spectral collocation technique for stochastic heat equations-Reference-Cited by-同舟云学术

Fully Legendre spectral collocation technique for stochastic heat equations

Published:2021-01-01 Issue:1 Volume:19 Page:921-931
ISSN:2391-5471
Container-title:Open Physics
language:en
Short-container-title:

Author:

Abdelkawy Mohamed A.¹²,Ahmad Hijaz³⁴,Jeelani Mdi Begum¹,Alnahdi Abeer S.¹

Affiliation:

1. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University , Riyadh , Saudi Arabia

2. Department of Mathematics, Faculty of Science, Beni-Suef University , Beni-Suef , Egypt

3. Information Technology Application and Research Center, Istanbul Ticaret University , 34445 , Istanbul , Turkey

4. Department of Mathematics, Faculty of Humanities and Social Sciences, Istanbul Ticaret University , 34445 , Istanbul , Turkey

Abstract

Abstract For the stochastic heat equation (SHE), a very accurate spectral method is considered. To solve the SHE, we suggest using a shifted Legendre Gauss–Lobatto collocation approach in combination with a shifted Legendre Gauss–Radau collocation technique. A comprehensive theoretical formulation is offered, together with numerical examples, to demonstrate the technique’s performance and competency. The scheme’s superiority in tackling the SHE is demonstrated.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2021-0073/pdf

Reference28 articles.

1. Sousa FS, Lages CF, Ansoni JL, Castelo A, Simao A. A finite difference method with meshless interpolation for incompressible flows in non-graded tree-based grids. J Comput Phys. 2019;396:848–66.

2. Mbroh NA, Munyakazi JB. A fitted operator finite difference method of lines for singularly perturbed parabolic convection-diffusion problems. Math Comput Simulat. 2019;165:156–71.

3. Patil HM, Maniyeri R. Finite difference method based analysis of bio-heat transfer in human breast cyst. Thermal Sci Eng Progress. 2019;10:42–7.

4. Li P-W, Fu Z-J, Gu Y, Song L. The generalized finite difference method for the inverse Cauchy problem in two-dimensional isotropic linear elasticity. Int J Solid Struct. 2019;174:69–84.

5. Shu Y, Li J, Zhang C. A local and parallel Uzawa finite element method for the generalized Navier-Stokes equations. Appl Math Comput. 2020;387:124671.

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