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...
A Debugging Tool for Routing Protocols in Wireless Sensor Networks
Tập 33 - Trang 72-76 - 2022
A wireless sensor network (WSN) is an important modern technology supporting the
internet of things. These networks are created as needed. There is no leading
protocol, and many competing protocols exist. When a new protocol is developed,
it must be tested on hardware. However, a simpler approach is to debug the
protocol logic on a PC, not directly on hardware. Yet existing simulators do not
allow...
Numerical solution of quasi-hydrodynamic equations on triangular grids
Tập 18 - Trang 263-281 - 2007
An algorithm is proposed for numerical solution of quasi-hydrodynamic equations
on unstructured spatial grids. The algorithm expands the range of solvable
problems by lowering the demands on the geometry of the numerical region.
Simulation of the Plasma-Sheath Equation on Condensing Grids
Tập 15 - Trang 123-137 - 2004
We consider the numerical solution of a Tonks–Langmuir integro-differential
equation with an Emmert kernel, which describes the behavior of the potential
both in the main plasma volume and in the thin boundary (Langmuir) layer. In the
volume plasma the potential varies insignificantly, while in the thin layer near
the wall (the sheath) it experiences rapid variation. To correctly resolve the
behav...
A Linear Terminal-Control Problem with Phase Constraints
Tập 31 - Trang 143-150 - 2020
We seek a control that satisfies the boundary conditions for a linear controlled
system whose trajectory passes outside some neighborhood of a given phase-space
point. Existence conditions are derived. Numerical calculations of the control
and the trajectory are presented for an inertial system of second order.
Solving the Navier-Stokes Equation for a Viscous Incompressible Fluid in an n-Dimensional Bounded Region and in the Entire Space ℝn
Tập 33 - Trang 255-272 - 2023
We consider initial-value problems for a system of motion equations of a viscous
incompressible fluid in Lagrangian variables with n = 2 or n = 3. We show that
the fluid motion is independent of pressure. In the absence of external forces,
the pressure is constant and the fluid is in free motion. This motion is purely
turbulent and is described by quasi-linear equations of parabolic type. We prove...
An algorithm for analytical integration of singularly perturbed systems of ordinary differential equations
Tập 3 - Trang 111-114 - 1992
Unique solvability of the inverse two-dimensional problem of magnetotelluric sounding forH-polarization
Tập 5 - Trang 165-170 - 1994
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