[PDF] Top 20 Numerical solution of parabolic equations by the box scheme
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Numerical solution of parabolic equations by the box scheme
... a convergence proof of this scheme for the heat equation, for a linear parabolic system, and for a class of nonlinear parabolic equations.. Von Neumann stability is shown to hold for the[r] ... See full document
134
Numerical solution and distinguishability in time fractional parabolic equation
... inhomogeneous parabolic equation by using over-measured data has generated an increasing amount of interest from engineers and scientist during the last few ...many numerical methods ...diffusion ... See full document
12
Finite difference scheme with spatial fourth order accuracy for a class of time fractional parabolic equations with variable coefficient
... differential equations are widely used to describe many complex phe- nomena in various fields including the scientific work and engineering ...differential equations (FDEs) containing the fractional derivative ... See full document
14
An implicit Keller Box numerical scheme for the solution of fractional subdiffusion equations
... approximate solution of FPDEs because the closed form analytic solutions either do not exist or involve special functions, such as the Fox (H-function) function [15] and the Mittag–Leffler function [14], which are ... See full document
29
A New Approach on Numerical Solutions of Burgers Equation Using PMEDG Iterative Method
... MEDG scheme from the rotated finite difference discretization to the numerical solution of the nonlinear steady two dimensional Burgers' Equations (1) and (2) and this iterative scheme ... See full document
8
An efficient approximate solution method for predicting the buckling of axially compressed imperfect cylindrical shells
... ABSTRACT A theoretical investigation of an efficient numerical solution scheme to solve approximately the nonlinear Donnell equations for imperfect isotropic cylindrical shells with edge[r] ... See full document
66
To The Qualitative Properties Of Solution Of System Equations Not In Divergence Form
... non-linear parabolic equations and systems of equations in divergence form, asymptotic theory and asymptotic methods based on different ...nonlinear parabolic systems of equations not in ... See full document
5
Online Full Text
... polynomial scheme for the numerical solution of initial value problems of ordinary differential ...method. Numerical experiments are carried out and the results are compared with the ... See full document
6
Tension spline technique for the solution of fourth-order parabolic partial differential equation
... order equations and have solved them by using cubic B-spline and in Method-II, they have solved equation ...the numerical solution of equation ...analytic solution of homogeneous fourth-order ... See full document
7
Metric based upscaling for partial differential equations with a continuum of scales
... As the shape functions on the coarse mesh, we find that C 1 finite elements sharply increase the accuracy compared with C 0 finite elements. C 1 finite elements were developed to sat- isfy the regularity requirement of ... See full document
175
A Numerical Approach to a Nonlinear and Degenerate Parabolic Problem by Regularization Scheme
... a numerical scheme for a nonlinear and degenerate parabolic problem having application in petroleum reservoir and groundwater aquifer ...true solution is typically lacking in regularity. Our ... See full document
6
On a difference scheme of the second order of accuracy for elliptic-parabolic equations
... difference scheme generated by Crank-Nicholson difference scheme for approximately solving multipoint nonlocal boundary value problem is ...difference scheme in Hölder spaces is ...type equations ... See full document
13
A NUMERICAL SOLUTION OF AN INVERSE PARABOLIC PROBLEM
... final numerical solution and is still under intensive research ...L-curve scheme to determine a suitable value of α ([19]-[20]). The L-curve scheme was first applied by Lawson and Hanson ... See full document
15
r-Modified Crank-Nicholson difference scheme for fractional parabolic PDE
... difference scheme of the above mentioned two problems ...r-modified scheme is of the sec- ond order of accuracy in t and in space variables difference schemes for the approximate solution of ...the ... See full document
12
A class of quasi variable mesh methods based on off step discretization for the numerical solution of fourth order quasi linear parabolic partial differential equations
... (v) Unconditional stability of the two-level method: The two-level implicit methods for the particular type of the fourth-order parabolic PDE () are unconditionally stable. Thus, the time step can be considerably ... See full document
29
Identification of the population density of a species model with nonlocal diffusion and nonlinear reaction
... In this subsection, we consider the fully nonlinear case for the problem (P) (given by equations (1)-(4)) with the density-dependent reaction term R (x, t, u) included. This is more challenging since the ... See full document
31
Numerical analysis of stability for a nonlinear size-structured population model with elastic growth
... the numerical methods of size- structured population dynamics [15], their efforts should be ...a numerical point of view, obtained such long-run behaviors as periodic Oscillation ...lower solution ... See full document
15
The Analytical Solution of Parabolic Volterra Integro- Differential Equations in the Infinite Domain
... of parabolic Volterra integro‐differential equation with three different kinds of memory kernel in the infinite ...the parabolic Volterra integro‐differential equation are consist of some special functions, ... See full document
14
A necessary and sufficient condition for uniqueness of the trivial solution in semilinear parabolic equations
... This problem was considered almost half a century ago by Fujita and Watanabe [10] (see also [9]). They proved [10, Theorem 1.4] that the Os- good condition (6) is sufficient for uniqueness of the trivial solution ... See full document
12
A Compact Finite Difference Method for Solving the General Rosenau–RLW Equation
... The Rosenau–RLW equation has been solved numerically by various methods (for example, see [13]–[18]). Zuo et al. [13] have proposed the Crank–Nocolson finite difference scheme for the equation. The convergence and ... See full document
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