[PDF] Top 20 Two Dimensional Nonlinear Reaction Diffusion Equation with Time Efficient Scheme
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Two Dimensional Nonlinear Reaction Diffusion Equation with Time Efficient Scheme
... non-linear two-dimensional reaction diffusion equation from population ...in two-dimensional reac- tion-diffusion, phenomena are studied numerically by different ... See full document
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Numerical Approximation to Nonlinear One Dimensional Coupled Reaction Diffusion System
... The Von-Neumann stability analysis is the most common used method of de- termining stability criterion as it is generally the easiest to apply. It can only be used to establish a necessary and sufficient condition for ... See full document
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A new parallel difference algorithm based on improved alternating segment Crank–Nicolson scheme for time fractional reaction–diffusion equation
... evolution equation, more and more numer- ical computation methods are proposed (Singh et ...For time fractional diffusion equation, Lin and Xu (2007) [17] constructed a finite difference scheme ... See full document
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ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction Subdiffusion Equation
... (FD) scheme pre- sented for 2D space fractional diffusion equation by Meerschaert, Scheffler and Tadje- ran [9], there are many literatures about various multidimensional fractional differen- tial ... See full document
21
An energy stable time integrator for phase field models
... second-order time accurate, mixed variational method for general classes of phase-field models with polynomial ...the time discretization. This time-integration algorithm preserves mass by ... See full document
63
Numerical solution of fractional diffusion wave equation and fractional Klein–Gordon equation via two dimensional Genocchi polynomials with a Ritz–Galerkin method
... interpolation scheme based on Galerkin weak ...the time-fractional diffusion-wave equation was developed by ...the time-fractional diffusion wave equation in ...difference ... See full document
12
High-order Compact Iterative Scheme for the Two-dimensional Time Fractional Cable Equation
... ‘Algorithms for the fractional calculus: a selection of numerical methods’, Computer Methods in Applied Mechanics and Engineering, 194, (6-8) pp.743-773. [17] Li C, Zhao Z and Chen Y 2011, ‘Numerical approximation of ... See full document
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A high order numerical scheme using orthogonal spline collocation for solving the two dimensional fractional reaction–subdiffusion equation
... fractional reaction–subdiffusion ...the time Caputo fractional derivative and applying the orthogonal spline collocation (OSC) method to approximate the spatial ...in two space variables are presented ... See full document
23
Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation
... on nonlinear discretizations, referred to as shock-capturing ...are nonlinear comes from the fact that linear monotone methods are usually highly diffusive, and that leads to non-optimal convergence (see ... See full document
26
A local projection stabilization finite element method with nonlinear crosswind diffusion for convection-diffusion-reaction equations
... and time-dependent convection-diffusion-reaction ...a nonlinear discretization scheme to a lin- ear problem leads certainly to a considerable complication of the solution process and to ... See full document
43
An efficient numerical algorithm for solving the two dimensional fractional cable equation
... cable equation. Liu et al. [22] presented two implicit numerical methods for the fractional ca- ble equation and discussed the stability and convergence of these methods using the en- ergy ... See full document
18
Computational Solutions of Two Dimensional Convection Diffusion Equation Using Crank Nicolson and Time Efficient ADI
... solving two dimensional convection-diffusion equation. Two test problems were considered, explained the efficiency, accuracy and stability of the ...in time efficient ... See full document
20
A Compact Difference Scheme for One-dimensional Nonlinear Delay Reaction-diffusion Equations with Variable Coefficient
... “Extended two-dimensional DTM and its application on nonlinear PDEs with proportional delay,” International Journal of Computer Mathematics, ...An efficient computational method for a class of ... See full document
6
Exponential basis and exponential expanding grids third (fourth) order compact schemes for nonlinear three dimensional convection diffusion reaction equation
... Laplace equation, Poisson’s equation, and Helmholtz equa- tion are some of well-known second-order elliptic PDEs of linear type, and their exact solution helps in realizing the qualitative character of ... See full document
27
Nonlocal diffusion, a Mittag-Leffler function and a two-dimensional Volterra integral equation
... This paper has been concerned with a special class of two dimensional Volterra integral equations. A nonlocal diffusion problem was introduced and it was shown that this problem could be re-characterized as ... See full document
10
An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations
... of nonlinear Burger-Huxley and Fitzhugh-Nagumo (FN) equations have been ...in time and space based upon Chebyshev Gauss-Labatto points and achieved spectral ...Burger-Huxley equation and other ... See full document
15
Compact difference scheme for two dimensional fourth order hyperbolic equation
... The rest of the paper is arranged as follows. In Sect. 2 we formulate the fourth-order compact finite difference scheme for problem (1). A stability analysis is given by the Fourier method in Sect. 3, and a ... See full document
19
Symplectic integrators for vakonomic equations and for multi Hamiltonian equations : a thesis presented in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at Massey University, Palmerston North, New Zealand
... diamond scheme was applied to the multi-Hamiltonian arising from Schr¨ odinger equation that spurious modes were noticed (they were unstable modes—the only reason they were ...multi-step scheme [3]. ... See full document
140
Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two dimensional spaces
... the nonlinear Schrödinger equa- tions were studied extensively in the case of the nonlinear terms without derivatives of unknown function and satisfying the gauge condition ... See full document
16
The Prolongation Structures for the System of the Reaction Diffusion Type
... π → whose sections play the role of unknown functions (fields). This at- titude allows applying to PDEs powerful techniques of differential geometry and homological algebra. Readers can refer [8] for more information. It ... See full document
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