Wavelet Collocation Method for Solving Elliptic Singularly Perturbed Problem

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A 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 کامل

Solving Parabolic Singularly Perturbed Problems by Collocation Using Tension Splines

Tension spline is a function that, for given partition x0 < x1 < . . . < xn, on each interval [xi, xi+1] satisfies differential equation (D − ρiD)u = 0, where ρi’s are prescribed nonnegative real numbers. In the literature, tension splines are used in collocation methods applied to two-points singularly perturbed boundary value problems with Dirichlet boundary conditions. In this paper, we adap...

متن کامل

The Dirichlet Problem for Singularly Perturbed Elliptic Equations

There has been much work on various singularly perturbed partial differential equations or systems. Such equations or systems depend on some small parameters ε > 0, solutions denoted as uε. There are at least two types of questions being investigated. The first type is to study possible behavior of uε as ε tends to zero. The second is to actually construct, by various methods, such solutions. I...

متن کامل

The 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* , p&#55: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 کامل

Wavelet optimized finite difference method using interpolating wavelets for solving singularly perturbed problems

A wavelet optimized finite difference (WOFD) method is presented for adaptively solving a class of singularly perturbed elliptic and parabolic problems. The method is based on an interpolating wavelet transform using polynomial interpolation on dyadic grids. Adaptive feature is performed automatically by thresholding the wavelet coefficients. Numerical examples for elliptic and parabolic proble...

متن کامل

ذخیره 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 Applied Mathematics and Physics

سال: 2019

ISSN: 2327-4352,2327-4379

DOI: 10.4236/jamp.2019.71014