Journal ArticleDOI
New explicit finite difference schemes for two‐dimensional diffusion subject to specification of mass
B. J. Noye,Mehdi Dehghan +1 more
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This article is published in Numerical Methods for Partial Differential Equations.The article was published on 1999-07-01. It has received 32 citations till now. The article focuses on the topics: Finite difference & Diffusion (business).read more
Citations
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Accurate solution of the ThomasFermi equation using the fractional order of rational Chebyshev functions
Kourosh Parand,Mehdi Delkhosh +1 more
TL;DR: The nonlinear singular ThomasFermi differential equation for neutral atoms is solved using the fractional order of rational Chebyshev orthogonal functions (FRCs) of the first kind, FTn(t,L), on a semi-infinite domain, where L is an arbitrary numerical parameter.
Journal ArticleDOI
Numerical Study of Astrophysics Equations by Meshless Collocation Method Based on Compactly Supported Radial Basis Function
Kourosh Parand,Mohammad Hemami +1 more
TL;DR: In this article, the authors proposed compactly supported radial basis functions for solving some well-known classes of astrophysics problems categorized as non-linear singular initial ordinary differential equations on a semi-infinite domain.
Journal ArticleDOI
Fractional order of rational Jacobi functions for solving the non-linear singular Thomas-Fermi equation
TL;DR: In this article, a new method based on fractional order of rational Jacobi functions is proposed that utilizes quasilinearization method to solve non-linear singular Thomas-Fermi equation on unbounded interval $[0,\infty)$.
Journal ArticleDOI
A novel numerical technique to obtain an accurate solution to the Thomas-Fermi equation
TL;DR: In this paper, a new algorithm based on the fractional order of rational Euler functions (FRE) is introduced to study the Thomas-Fermi (TF) model which is a nonlinear singular ordinary differential equation on a semi-infinite interval.
Numerical solution partial differential equations in science and engineering
Leon Lapidus,George F. Pinder +1 more
TL;DR: In this paper, the equations of differentielles and lineaires are described in terms of a reference record created on 2005-11-18, modified on 2016-08-08.
References
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Book
Numerical solution of partial differential equations in science and engineering
Leon Lapidus,George F. Pinder +1 more
TL;DR: In this article, basic concepts in the Finite Difference and Finite Element Methods have been discussed, including Finite Elements on Irregular Subspaces and Parabolic Partial Differential Equations.
Journal ArticleDOI
The solution of the heat equation subject to the specification of energy
TL;DR: In this paper, a comparison of variational principles for displacements (solid and entropy) and heat conduction is made, and it is shown that in the extended variational theorem for displacement, one is concerned with a minimum problem, while in contrast to this, Reissner's general variational theory, as extended to thermoelasticity, is only a stationary value problem.
Journal ArticleDOI
Extensions of a property of the heat equation to linear thermoelasticity and other theories
TL;DR: In this paper, it was shown that modified forms of (P) remain true within both the quasi-static and the dynamic theories of coupled linear thermoelasticity, and also within certain theories which replace the parabolic heat equation by a linear hyperbolic equation and thereby ensure that temperature disturbances propagate at finite speed.
Journal ArticleDOI
A reaction-diffusion system arising in modelling man-environment diseases
Vincenzo Capasso,Karl Kunisch +1 more
TL;DR: In this article, the authors considered a more realistic generalization of a previous model proposed by V. C. and co-workers to describe fecal-orally transmitted diseases (cholera, typhoid fever, infectious hepatitis, etc.).
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