In this research, we introduce a two-tier non-polynomial spline approach with graded mesh
discretization for addressing fourth-order time-dependent partial differential equations …

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 …

In this article, we propose a new two-level implicit method of accuracy two in time and three
in space based on spline in compression approximations using two off-step points and a …

In this work, we describe a new two-level compact implicit strategy in exponential form for
the numerical solution of a one-dimensional quasi linear parabolic equation. The method is …

Numerical schemes based on off-step discretization are developed to solve two classes of
fourth-order time-dependent partial differential equations subjected to appropriate initial and …

In this article, we proposed a new two-level implicit method of accuracy two in time and four
in space based on spline in compression approximations using two half-step points and a …

In this paper, we report three level implicit method of high accuracyschemes for the
numerical solution of fourth order nonhomogeneousparabolic partial dierential equation …

In this article, we discuss a fourth-order accurate scheme based on non-polynomial splines
in tension approximations for solving quasi-linear parabolic partial differential equations …

In this article, we discuss a new two-level implicit scheme of order of accuracy two in time
and four in space based on the spline in compression approximations for the numerical …

In this article, we present a new numerical method for effectively solving general second-
order ordinary differential equations with mixed boundary conditions. Our approach utilizes …