Exponential B-spline collocation method for solving the generalized Newell-Whitehead-Segel equation

نویسندگان
چکیده

برای دانلود رایگان 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

The Newell-whitehead-segel Equation for Traveling Waves

An equation to describe nearly 1D traveling-waves patterns is put forward in the form of a dispersive generalization of the Newell-Whitehead-Segel equation. Transverse stability of plane waves is shown to be drastically altered by the dispersion. A necessary transverse Benjamin-Feir stability condition is obtained. If it is met, a quarter of the plane-wave existence band is unstable, while thre...

متن کامل

Exponential B-spline collocation method for numerical solution of the generalized regularized long wave equation

The aim of the present paper is to present a numerical algorithm for the time-dependent generalized regularized long wave equation with boundary conditions. We semi-discretize the continuous problem by means of the Crank–Nicolson finite difference method in the temporal direction and exponential B-spline collocation method in the spatial direction. The method is shown to be unconditionally stab...

متن کامل

An exponential spline for solving the fractional riccati differential equation

In this Article, proposes an approximation for the solution of the Riccati equation based on the use of exponential spline functions. Then the exponential spline equations are obtained and the differential equation of the fractional Riccati is discretized. The effect of performing this mathematical operation is obtained from an algebraic system of equations. To illustrate the benefits of the me...

متن کامل

B-SPLINE COLLOCATION APPROACH FOR SOLUTION OF KLEIN-GORDON EQUATION

We develope a numerical method based on B-spline collocation method to solve linear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of numerical experiments have been compared with the exact solution to show the efficiency of the method computationally. Easy and economical implementation is the strength of this approach.  

متن کامل

Systematic derivation of a rotationally covariant extension of the two-dimensional Newell-Whitehead-Segel equation.

An extension of the Newell-Whitehead-Segel amplitude equation covariant under abritrary rotations is derived systematically by the renormalization group method. Typeset using REVTEX 1 The present day theory of pattern formation to a large degree rests on the derivation and exploitation of amplitude equations. In particular, for the formation of 2-dimensional patterns by spontaneous symmetry bre...

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 Mathematics and Computer Science

سال: 2020

ISSN: 2008-949X

DOI: 10.22436/jmcs.020.04.05