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In this article, we consider an inverse problem related to the damped generalized regularized long wave equation with noisy data. We study numerically this problem by applying the quartic B-spline ...

In order to solve the nonlinear time fractional inverse parabolic equations, two methods namely, combination of the finite difference method (FDM) and cubic B-spline collocation method are proposed...

In this paper, a numerical method is proposed for the numerical solution of the coupled nonlinear reaction–diffusion equations with suitable initial and boundary conditions by using the Haa...

In this paper, a numerical method is proposed for the numerical solution of a linear system with suitable initial and boundary conditions using the cubic B-spline collocation scheme to determine th...

In this paper, a spectral Tau method based on Legendre Wavelet basis is proposed. For this purpose we present a stable operational Tau method based on Legendre Wavelet basis. This method provides an efficient approximate solution for weakly singular Volterra integral equations by using reduced set of matrix operations. An error estimation of the Tau method is also introduced. Finally we demonstrate the validity and applicability of the method by numerical examples.