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High-order explicit-implicit numerical methods for nonlinear ...

High-order explicit-implicit numerical methods for nonlinear anomalous diffusion equations. Regular Article; Published: 07 October 2013. Volume 222, pages ...

(PDF) High-order explicit-implicit numerical methods for nonlinear ...

PDF | In this paper, the high-order finite difference/element methods for the nonlinear anomalous diffusion equations of subdiffusion and ...

High-order explicit-implicit numerical methods for nonlinear ...

High-order explicit-implicit numerical methods for nonlinear anomalous diffusion equations. *. F. Zeng. 1. , C. Li. 1,a. , and F. Liu. 2. 1.

High-order explicit-implicit numerical methods for nonlinear ... - EPJ ST

High-order explicit-implicit numerical methods for nonlinear anomalous diffusion equations ... The stability and error estimates are proved for ...

Explicit and implicit methods - Wikipedia

Explicit and implicit methods are approaches used in numerical analysis for obtaining numerical approximations to the solutions of time-dependent ordinary ...

High-order implicit weighted compact nonlinear scheme for ...

To improve the accuracy and computational efficiency of the numerical method, the fifth-order accurate WCNS and the third-order diagonal implicit Runge–Kutta ( ...

A new implicit high-order iterative scheme for the numerical ... - Nature

Ying and Lizhen used finite difference/spectral method for the numerical solution of generalized FCE in which backward difference and the ...

Higher Order Implicit Scheme for Nonlinear Time-Dependent ...

It is proposed that a higher order numerical scheme of finite difference method be used in conjunction with an iterative approach in order to solve the ...

Implicit vs Explicit Numerical Methods | CFD-101 by Dr. CW. Tony Hirt

In an explicit numerical method S would be evaluated in terms of known quantities at the previous time step n. An implicit method, in contrast, would evaluate ...

Explicit-Implicit Schemes for the Numerical Solution of Nonlinear ...

For nonlinear systems, in order to imple- ment the CFL condition ... two classes of second-order accurate explicit and implicit methods for solving system.

Implicit-explicit methods for a class of nonlinear nonlocal gradient ...

More efficient numerical methods are obtained by applying second-order implicit-explicit (IMEX) Runge-Kutta time discretizations to an available explicit ...

Theory of Implicit Methods

Implicit methods result in a nonlinear equation to be solved for yn+1 so that iterative methods must be used. The backward Euler method is a first-order method.

High‐order implicit time‐stepping with high‐order central essentially ...

The resulting nonlinear algebraic system of equations is solved via a preconditioned Jacobian-free inexact Newton–Krylov method with additive ...

The differences between the implicit and the explicit method.

The explicit method and implicit method are numerical analysis methods used to solve a time-dependent differential equation.

Explicit Numerical Methods for High Dimensional Stochastic ... - arXiv

Abstract:This paper focuses on the construction and analysis of explicit numerical methods of high dimensional stochastic nonlinear Schrodinger ...

Implicit-explicit time integration of nonlinear fractional differential ...

... numerical methods. We develop two efficient first- and second-order implicit-explicit (IMEX) methods for accurate time-integration of stiff/ ...

High Order Implicit-Explicit General Linear Methods with Optimized ...

The stability regions of the new schemes are optimized numerically. The resulting IMEX-GLMs have similar stability properties as IMEX Runge- ...

Stable implicit and explicit numerical methods for integrating quasi ...

nonlinear dependence upon w. However, we assume this dependence is ... third, and fourth order methods. The stability boundary laHlc euh. (defined ...

Explicit and Implicit Methods In Solving Differential Equations

The forward Euler's method is one such numerical method and is explicit. ... solving nonlinear forward euler tinit=0 tfinal=0.5 let uexact= x(1-x)(( ...

Implicit-Explicit Methods for Evolutionary Partial Differential Equations

Implicit-explicit (IMEX) time discretization methods have proven to be highly effective for the numerical solution of a wide class of evolutionary partial ...