The modified equation technique is extended to two-point, boundary-value problems, and a second-order accurate, implicit, centered, finite difference scheme
Abstract. The modified equation technique is extended to two-point, boundary-value prob- lems, and a second-order accurate, implicit, centered, ...
On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's.
Jul 25, 2020 · The modified equation technique is extended to two-point, boundary-value problems, and a second-order accurate, implicit, centered, ...
On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's.
On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's.
studied extensively for boundary-value problems [5,6]. In this ... [5] H.B. Keller, Numerical Methods for Two-Point Boundary-Value Problems, Dover, New.
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On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's.
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What is asymptotic analysis of differential equations?
Asymptotic analysis is a key tool for exploring the ordinary and partial differential equations which arise in the mathematical modelling of real-world phenomena. An illustrative example is the derivation of the boundary layer equations from the full Navier-Stokes equations governing fluid flow.
What are the different methods of solving an ordinary differential equation?
The so-called general linear methods (GLMs) are a generalization of the above two large classes of methods.
Euler method.
Backward Euler method.
First-order exponential integrator method.
Generalizations.
Advanced features.
Alternative methods.
Parallel-in-time methods.
What is asymptotic solution of differential equation?
Asymptotic approximations to differential equations are also known as asymptotic expansions, perturbation solutions, regular perturbations and singular perturbations, etc. They are also known by specific methods used to compute some of them, such as Frobenius series, WKB, boundary-layer method, etc.
What is a modified differential equation?
The Modified Differential Equation is defined as an equation obtained after replacement step 3), restricted to the lowest order terms (contains only space derivatives)
On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's.
On the method of modified equations. VI: Asymptotic analysis of and asymptotic successive-corrections techniques for two-point, boundary-value problems in ODE's.