Computational Mathematics and Modeling
1573-837X
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Các bài báo tiêu biểu
Solving 2D Reaction-Diffusion Equations with Nonlocal Boundary Conditions by the RBF-MLPG Method
Tập 25 - Trang 521-529 - 2014
This paper is concerned with the development of a new approach for the numerical
solution of linear and nonlinear reaction-diffusion equations in two spatial
dimensions with Bitsadze-Samarskii type nonlocal boundary conditions. Proper
finite-difference approximations are utilized to discretize the time variable.
Then, the weak equations of resultant elliptic type PDEs are constructed on
local subd...
Cyclic solutions in dynamical systems generated by local variational problems with objective-function singularities
Tập 11 - Trang 97-102 - 2000
The article considers cyclic systems generated by local variational problems
with various singularities in the objective function. Conditions for the
creation of cyclic solutions are examined.
A Comparative Study on the Numerical Solution for Singularly Perturbed Volterra Integro-Differential Equations
Tập 32 - Trang 364-375 - 2021
This article essays the numerical solution of singularly perturbed Volterra
integro-differential equations using some finite difference techniques. At
first, the upwind scheme is applied for the derivative component and for the
integral component, the trapezoidal rule in conjunction with the right side
rectangular rule is used. This approach achieves first order uniform
convergence. Furthermore, R...
Modeling the energy effect of gravitational differentiation in the early evolution of the Earth
Tập 2 - Trang 278-282 - 1991
Erratum to: Some Optimal Control Problems Associated with Richardson’s Arms Race Model
Tập 26 - Trang 466-466 - 2015
A Nonlocal Finite-Difference Boundary-Value Problem
Tập 14 - Trang 410-416 - 2003
We investigate the stability of difference schemes for the equation of heat
conduction with nonlocal boundary conditions. An example is given which in a
certain sense imitates the problem with variable coefficients and has an exact
solution in analytical form. It is shown that the difference operator has a
simple spectrum and that multiple eigenvalues appear only in the case with
constant coeffici...
Solution of an inverse problem for estimation of ionospheric parameters
Tập 5 - Trang 157-161 - 1994
Numerical solution by the quasi-reversibility method of unstable problems for the first-order evolution equation
Tập 6 - Trang 39-60 - 1995
Prior bounds are derived on the solution of the perturbed problem in different
versions of the quasi-reversibility method used for approximate solution of
unstable problems for first-order evolution equations. An example of such a
problem is provided by the problem backward in time for the equation of heat
conduction. Approximate solution of perturbed problems by difference methods is
considered. ...
Homotopy perturbation method and He’s polynomials for solving the porous media equation
Tập 24 - Trang 279-292 - 2013
In this paper, the homotopy perturbation method (HPM) is employed to solve the
porous media equation. The particular exact solutions of the porous media
equation that usually occurs in nonlinear problems of heat and mass transfer are
obtained using He’s polynomials based on the homotopy perturbation method. The
solution procedure becomes easier, simpler, and more straightforward. Also, the
obtaine...