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


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

MATHEMATICS OF COMPUTATION, VOLUME 29, NUMBER 130. APRIL 1975, PAGES 407-424. Explicit-Implicit Schemes for the Numerical Solution of Nonlinear Hyperbolic ...

Implicit-explicit schemes for nonlinear consolidation - ScienceDirect

It is shown that the algorithm can be simply and concisely implemented. The technique allows for a convenient selection of implicit and explicit elements, and ...

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 ...

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 ...

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. ... Also, in non-linear ...

Implicit–explicit schemes for nonlinear nonlocal equations with a ...

It is proven that this method is well defined. Numerical experiments illustrate that for fine discretizations it is more efficient in terms of ...

(PDF) Explicit and implicit method in nonlinear seismic analysis

The paper deals with suitability of use of the explicit and implicit method in heavily nonlinear seismic analysis. Considering typical time of duration of ...

Implicit–explicit predictor–corrector schemes for nonlinear parabolic ...

In the present paper, a family of predictor–corrector (PC) schemes are developed for the numerical solution of nonlinear parabolic differential equations.

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/ ...

Implicit vs Explicit Approach in FEM - Yasin ÇAPAR

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

Implicit–explicit schemes for nonlinear nonlocal equations with a ...

a second-order implicit–explicit Runge–Kutta (IMEX-RK) method can be formulated. This method avoids the restrictive time step limitation of ...

Explicit vs Implicit Numerical Methods for Mechanical Engineering

Explicit methods are easy to implement and require less computational resources than implicit methods. However, they also have some drawbacks, ...

Implicit-Explicit Difference Schemes for Nonlinear Fractional ...

Numerical examples illustrate the flexibility and efficiency of the IMEX schemes and show that they are effective for nonlinear and multirate fractional ...

Stability of implicit and implicit–explicit multistep methods for ...

We analyse the discretization of nonlinear parabolic equations in Hilbert spaces by both implicit and implicit–explicit multistep methods and establish local ...

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 ...

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 ...

Linearized Implicit Numerical Method for Burgers' Equation

The resulting system of nonlinear differential equations is integrated by an implicit finite difference method. We have not used Cole-Hopf ...

Explicit and Implicit Methods In Solving Differential Equations

numerical methods for solving such equations will be based on that for the linear equations. Let us consider now the nonlinear parabolic ...

Does an implicit Runge Kutta scheme applied on a nonlinear ODE ...

For explicit methods the matrix a is strictly lower triangular and thus you can determine ki explicitly without solving any set of equations.

Acceleration of implicit schemes for large systems of nonlinear ...

When solving large systems of nonlinear differential-algebraic equations by implicit schemes, each integration step requires the solution of a system of ...