Hermite wavelet method for solving nonlinear Rosenau–Hyman equation

Haar wavelet method for solving Fisher's equation

In this paper, we develop an accurate and efficient Haar wavelet solution of Fisher's equation , a prototypical reaction–diffusion equation. The solutions of Fisher's equation are characterized by propagating fronts that can be very steep for large values of the reaction rate coefficient. There is an ongoing effort to better adapt Haar wavelet methods to the solution of differential equations w...

Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations

In this paper, we apply Legendre wavelet collocation method to obtain the approximate solution of nonlinear Stratonovich Volterra integral equations. The main advantage of this method is that Legendre wavelet has orthogonality property and therefore coefficients of expansion are easily calculated. By using this method, the solution of nonlinear Stratonovich Volterra integral equation reduces to...

Haar Wavelet Method for Solving Cahn-Allen Equation

Haar wavelet method for solving FitzHugh-Nagumo equation

In this paper, we develop an accurate and ef£cient Haar wavelet method for well-known FitzHugh-Nagumo equation. The proposed scheme can be used to a wide class of nonlinear reaction-diffusion equations. The power of this manageable method is con£rmed. Moreover the use of Haar wavelets is found to be accurate, simple, fast, ¤exible, convenient, small computation costs and computationally attract...

Steffensen method for solving nonlinear matrix equation $X+A^T X^{(-1)}A=Q$

In this article we study Steffensen method to solve nonlinear matrix equation $X+A^T X^{(-1)}A=Q$, when $A$ is a normal matrix. We establish some conditions that generate a sequence of positive denite matrices which converges to solution of this equation.