In this paper we established a numerical method for Equal Width (EW) Equation using Polynomial Scaling Functions. The EW equation is a simpler alternative to well known Korteweg de Vries (KdV) and regularized long wave (RLW) equations which have many applications in nonlinear wave phenomena. According to Polynomial scaling method, algebraic polynomials are used to get the orthogonality between the wavelets and corresponding scaling functions with respect to the Chebyshev weight. First we introduce polynomial scaling functions, how are the functions are approximated according to these and Operational matrix of derivatives are given. For time discretization of the function we use finite difference method with Rubin Graves linearization and polynomial scaling functions are used for the space discretization. The method is applied to four different problem and the obtained results are compared with the results in the literature and with the exact results to give the efficiency of the method.

在本文中，我们使用多项式标度函数建立了等宽 (EW) 方程的数值方法。EW 方程是众所周知的 Korteweg de Vries (KdV) 和正则化长波 (RLW) 方程的更简单替代方法，后者在非线性波现象中有许多应用。根据多项式标度方法，使用代数多项式来获得小波与相应标度函数之间关于切比雪夫权重的正交性。首先我们介绍多项式标度函数，根据这些函数是如何近似的，并给出了导数的运算矩阵。对于函数的时间离散化，我们使用有限差分法和 Rubin Graves 线性化，多项式标度函数用于空间离散化。