The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM
نویسندگان
چکیده
In this research, the numerical integral method procedure on uniform mesh is used to solve singularly perturbed problem which has boundary value. This also includes trapezoid method, finite difference and Thomas algorithm. The converted by using approximations method. Finally, convergence of presented analyzed through sample application. Thus, correctness sufficiency are shown.
منابع مشابه
Numerical solution of a singularly perturbed Volterra integro-differential equation
*Correspondence: [email protected] Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, Van, 65080, Turkey Abstract We study the convergence properties of a difference scheme for singularly perturbed Volterra integro-differential equations on a graded mesh. We show that the scheme is first-order convergent in the discrete maximum norm, independently of the perturbation parame...
متن کاملOn the Numerical Solution for Singularly Perturbed Second-order ODEs
In this article we consider the approximation of singularly perturbed boundary value problems using a local adaptive grid h-refinement for finite element method, the variation iteration method and the homotopy perturbation method. The solution to such problems contains boundary layers which overlap and interact and the numerical approximation must take this into account in order for the resulti...
متن کاملApproximation of the solution and its derivative for the singularly perturbed Black-Scholes equation with nonsmooth initial data∗
A problem for the Black-Scholes equation that arises in financial mathematics, by a transformation of variables, is leaded to the Cauchy problem for a singularly perturbed parabolic equation with variables x, t and a perturbation parameter ε, ε ∈ (0, 1]. This problem has several singularities such as: the unbounded domain; the piecewise smooth initial function (its first order derivative in x h...
متن کاملPeriodic solutions of a singularly perturbed delay differential equation
A singularly perturbed differential delay equation of the form ẋ(t) = −x(t)+ f (x(t − 1), λ) (1) exhibits slowly oscillating periodic solutions (SOPS) near the first period-doubling bifurcation point of the underlying map (obtained by setting = 0). For extremely small values of , these periodic solutions resemble square waves, which consist of sharp, O( ) transition layers connecting intervals ...
متن کاملExistence of Chaos for a Singularly Perturbed NLS Equation
The work [1] is generalized to the singularly perturbed nonlinear Schrödinger (NLS) equation of which the regularly perturbed NLS studied in [1] is a mollification. Specifically, the existence of Smale horseshoes and Bernoulli shift dynamics is established in a neighborhood of a symmetric pair of Silnikov homoclinic orbits under certain generic conditions, and the existence of the symmetric pai...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Gazi university journal of science
سال: 2023
ISSN: ['2147-1762']
DOI: https://doi.org/10.35378/gujs.935885