finite dimensional difference equations
ON QUARTER-SWEEP FINITE DIFFERENCE SCHEME FOR ONE-DIMENSIONAL POROUS MEDIUM EQUATIONS
... Abstract: In this article, we introduce an implicit finite difference approx- imation for one-dimensional porous medium equations using Quarter-Sweep approach. We approximate the solutions of ...
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Alternating Group Explicit Iterative Methods for One Dimensional Advection Diffusion Equation
... include finite difference me- thods, Galerkin methods, spectral methods, wavelet based finite elements and several ...differential equations (see ...Navier-Stokes equations in the ...
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A New Approach on Numerical Solutions of Burgers Equation Using PMEDG Iterative Method
... rotated finite difference discretization to the numerical solution of the nonlinear steady two dimensional Burgers' Equations (1) and (2) and this iterative scheme has shown improvements in ...
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Alternating direction implicit finite difference methods for a new two dimensional two sided space fractional diffusion equation
... proposed a Crank–Nicolson alternating-direction implicit Galerkin–Legendre spectral method for the two-dimensional Riesz space fractional nonlinear reaction-diffusion equa- tions. Feng et al. [16] presented a ...
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A fourth order accurate quasi variable mesh compact finite difference scheme for two space dimensional convection diffusion problems
... The convection-diffusion problems occur in the area of fluid dynamics and several branches of applied mathematics. In the convection-diffusion process, transport phenom- ena prevail diffusion, whose effects are restricted to ...
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Finite difference scheme for simulating a generalized two dimensional multi term time fractional non Newtonian fluid model
... differential equations have been applied to many anomalous phenom- ena and complex systems in natural science and engineering technology fields ...fusion equations has been ...diffusion-wave equations ...
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A fast finite difference method for biharmonic equations on irregular domains
... equations on the same irregular domain, which we use the available package of the immersed interface method, and a specially designed interpolation scheme to evaluate the residual. The irregular boundary is ...
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Fourth order compact finite difference method for solving two dimensional convection–diffusion equation
... In terms of the above reasons, a compact finite difference scheme is desired to solve lots of differential equations numerically [13–16]. One can compute more accurate solutions using limited grid sizes through ...
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Finite difference scheme with spatial fourth order accuracy for a class of time fractional parabolic equations with variable coefficient
... advection-dispersion equations were ...advection-dispersion equations, the fractional convection-dispersion equations, and the fractional diffusion equations re- spectively, whereas in [], a ...
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An efficient high order compact finite difference scheme based on proper orthogonal decomposition for the multi dimensional parabolic equation
... A large number of numerical examples have proved that the proper orthogonal decom- position (POD) is a powerful technique offering the adequate approximation for numerical models with fewer unknowns, which means that the ...
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Finite Element Method for a Kind of Two Dimensional Space Fractional Diffusion Equation with Its Implementation
... differential equations with Galerkin finite element method in space and a backward difference technique in time, and the stability and convergency were ...
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Non-uniform HOC Scheme for the 3D Convection–Diffusion Equation
... (HOC) finite difference (FD) schemes, which are computationally ...(4OC) finite difference schemes for convection diffusion equations on uniform grids for two dimensional space ...
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Quantum calculus on finite intervals and applications to impulsive difference equations
... Quantum calculus is the modern name for the investigation of calculus without limits. The quantum calculus or q-calculus began with FH Jackson in the early twentieth century, but this kind of calculus had already been ...
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Finite difference approximations for a class of non local parabolic equations
... We now see from [5] that Y possesses the maximum principle, monotonicity and exponential decay properties, which in turn results in monotonic and stable numerical schemes if it is discre[r] ...
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Finite difference approach for variable order reaction–subdiffusion equations
... In order to generalize the reaction–diffusion problem to a reaction–subdiffusion prob- lem, we must deal with the subdiffusive motion of the particles. Seki et al. [21] and Yuste et al. [22] replaced Eqs. (5) and (6) with ...
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Dynamical behavior of a system of three dimensional nonlinear difference equations
... difference equations and discussing the asymptotic stability of their equilibrium ...investigating equations arising in mathematical models that describe real life situations in population biology, ...
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Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay
... references therein). Recently, several papers [12–17] are devoted to study almost periodic solutions of difference equations. To the best of our knowledge, little work has been done on almost periodic solutions of ...
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Finite difference method for the hyperbolic system of equations with nonlocal boundary conditions
... In the present paper, the finite-difference method for the initial-boundary value problem for a hyperbolic system of equations with nonlocal boundary conditions is studied. The positivity of the difference analogy of ...
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Finite difference schemes for linear stochastic integro-differential equations
... implicit) finite difference scheme is of order one in space and one-half in ...semi-discretized finite difference approximation of a linear second order SPDE driven by continuous martingale ...
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A finite difference method for the smooth solution of linear Volterra integral equations
... integral equations of Volterra type arise in a variety of science and technology fields ...integral equations, that one can apply an existence and uniqueness ...integral equations of the second ...
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