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Advanced Search Results For "FINITE differences"

1 - 10 of 42,062 results for
 "FINITE differences"
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Analysis of Two-Level Mesh Method for Partial Integro-Differential Equation.

Publication Type:Academic Journal

Source(s):Journal of Function Spaces. 7/13/2022, p1-10. 10p.

Abstract:In this paper, we present two-level mesh scheme to solve partial integro-differential equation. The proposed method is based on a finite difference method. For the first step, we use finite difference method in time and global radial basis function (RB...

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Determination of an Energy Source Term for Fractional Diffusion Equation.

Publication Type:Academic Journal

Source(s):Journal of Sensors. 8/26/2022, p1-9. 9p.

Abstract:In this article, we will determine the source term of the fractional diffusion equation (FDE). Our contribution to this work is the generalization of the common inverse diffusion equation issues and the inverse diffusion equation problems for fractiona...

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A Nonstandard Fitted Operator Method for Singularly Perturbed Parabolic Reaction-Diffusion Problems with a Large Time Delay.

Publication Type:Academic Journal

Source(s):International Journal of Mathematics & Mathematical Sciences. 7/30/2022, p1-11. 11p.

Abstract:In this paper, we design and investigate a higher order ε -uniformly convergent method to solve singularly perturbed parabolic reaction-diffusion problems with a large time delay. We use the Crank–Nicolson method for the time derivative, while the spat...

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A Comparison of Finite Difference and Finite Volume Methods with Numerical Simulations: Burgers Equation Model.

Publication Type:Academic Journal

Source(s):Complexity. 6/27/2022, p1-9. 9p.

Abstract:In this paper, we present an intensive investigation of the finite volume method (FVM) compared to the finite difference methods (FDMs). In order to show the main difference in the way of approaching the solution, we take the Burgers equation and the B...

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Non-polynomial spline solution of one dimensional singularly perturbed parabolic equations.

Publication Type:Academic Journal

Source(s):Journal of Computational Analysis & Applications. oct2022, Vol. 30 Issue 2, p312-322. 11p.

Abstract:In this paper, two-parameter singularly perturbed parabolic equations are examined by two level method using non-polynomial spline. We have used non-polynomial quadratic spline in space and finite difference discretization in time. Stability analysis i...

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A High Accuracy Local One-Dimensional Explicit Compact Scheme for the 2D Acoustic Wave Equation.

Publication Type:Academic Journal

Source(s):Advances in Mathematical Physics. 5/26/2022, p1-14. 14p.

Abstract:In this paper, we develop a highly accurate and efficient finite difference scheme for solving the two-dimensional (2D) wave equation. Based on the local one-dimensional (LOD) method and Padé difference approximation, a fourth-order accuracy explicit c...

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Finite Difference Computation of Au-Cu/Magneto-Bio-Hybrid Nanofluid Flow in an Inclined Uneven Stenosis Artery.

Publication Type:Academic Journal

Source(s):Complexity. 4/12/2022, p1-18. 18p.

Abstract:The present study addresses the fluid transport behaviour of the flow of gold (Au)-copper (Cu)/biomagnetic blood hybrid nanofluid in an inclined irregular stenosis artery as a consequence of varying viscosity and Lorentz force. The nonlinear flow equat...

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Compact Finite Difference Scheme Combined with Richardson Extrapolation for Fisher's Equation.

Publication Type:Academic Journal

Source(s):Mathematical Problems in Engineering. 1/27/2022, p1-7. 7p.

Abstract:In this study, the fourth-order compact finite difference scheme combined with Richardson extrapolation for solving the 1D Fisher's equation is presented. First, the derivative involving the space variable is discretized by the fourth-order compact fin...

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Numerical solutions for linear fractional differential equation with dependence on the Caputo-Hadamard derivative using finite difference method.

Publication Type:Academic Journal

Source(s):Palestine Journal of Mathematics. 2022 Special Issue, Vol. 11, p28-36. 9p.

Abstract:The main objective of this paper is to find accurate solutions for linear fractional differential equations involving the fractional Caputo-Hadamard derivative of order > 0: Therefore, to achieve this objective, a new method called the Finite Fractiona...

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NONSTANDARD FINITE DIFFERENCE SCHEMES WITH APPLICATION TO BIOLOGICAL MODELS.

Publication Type:Academic Journal

Source(s):TWMS Journal of Applied & Engineering Mathematics. 2022, Vol. 12 Issue 1, p347-356. 10p.

Abstract:This paper deals with the construction of nonstandard finite difference methods for solving a specific Rosenzweig-MacArthur predator-prey model. The reorganization of the denominator of the discrete derivatives and nonlocal approximations of nonlinear ...

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