A rational spectral collocation method for third-order singularly perturbed problems
نویسندگان
چکیده
منابع مشابه
Rational Spectral Collocation Method for a Coupled System of Singularly Perturbed Boundary Value Problems
A novel collocation method for a coupled system of singularly perturbed linear equations is presented. This method is based on rational spectral collocation method in barycentric form with sinh transform. By sinh transform, the original Chebyshev points are mapped into the transformed ones clustered near the singular points of the solution. The results from asymptotic analysis about the singula...
متن کاملNumerical method for a system of second order singularly perturbed turning point problems
In this paper, a parameter uniform numerical method based on Shishkin mesh is suggested to solve a system of second order singularly perturbed differential equations with a turning point exhibiting boundary layers. It is assumed that both equations have a turning point at the same point. An appropriate piecewise uniform mesh is considered and a classical finite difference scheme is applied on t...
متن کاملThe Exponential Time Differencing and Rational Spectral Collocation Method for Singularly Perturbed Burgers-huxley Problem
& Y R + Q 32 RQ 2 May, 2010 MATHEMATICA NUMERICA SINICA Vol.32, No.2 pji]\aonced^`gbfmh_ Burgers-Huxley lk*1) W[X SVU YZT (i#?*Q* , 3 200092) K F A #Q ε L Burgers-Huxley m2I3hqÆ# qX+ :8Z4 m}c, xCo Q>2(sMGk Sh Qm>. b_.m L @%, CA sinh LGk ShB Chebyshev :S[ @%8* , p7:S!Z=I5yG^; >.m !CoQ>2( sM 4 8 Runge-Kutta h < L{E, CrÆ s%XMe QLmh[ut > :8 Z}c>PILLQm {X c. Qm@. , xa6Lmh[ > I @% %L :8Z Burgers-H...
متن کاملA Uniformly Accurate Collocation Method for a Singularly Perturbed Problem
A semilinear singularly perturbed reaction-diffusion problem is considered and the approximate solution is given in the form of a quadratic polynomial spline. Using the collocation method on a simple piecewise equidistant mesh, an approximation almost second order uniformly accurate in small parameter is obtained. Numerical results are presented in support of this result. AMS Mathematics Subjec...
متن کاملA hybrid method for singularly perturbed delay boundary value problems exhibiting a right boundary layer
The aim of this paper is to present a numerical method for singularly perturbed convection-diffusion problems with a delay. The method is a combination of the asymptotic expansion technique and the reproducing kernel method (RKM). First an asymptotic expansion for the solution of the given singularly perturbed delayed boundary value problem is constructed. Then the reduced regular delayed diffe...
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: Journal of Computational and Applied Mathematics
سال: 2016
ISSN: 0377-0427
DOI: 10.1016/j.cam.2016.03.009