Discover a numerical scheme for solving second kind nonlinear Volterra integral equations using the Picard iteration method and numerical quadrature formulas. Enhance convergence with a multistage ...

Due to this important property, this research aims to develop an efficient numerical method for solving a class of non-linear fractional BVPs. The proposed method is free from perturbation, ...

Comparing Variational Iteration Method with Common Numerical Methods for Solving Time Fractional Burger Equation The Variational Iteration Method (VIM) has been widely used to solve partial ...

The variational iteration method (VIM) is one of the well‐known semi‐analytical methods for solving linear and nonlinear ordinary as well as partial differential equations. The main advantage of the ...

This paper discusses the accelerating iterative methods for solving the implicit scheme of nonlinear parabolic equations. Two new nonlinear iterative methods named by the implicit-explicit ...

The challenges become even more pronounced on heterogeneous hardware, where traditional sparse numerical linear algebra methods are often inefficient. For example, methods for solving ill-conditioned ...

A domain decomposition method for second-order elliptic problems is considered. An iterative procedure that reduces the problem to a sequence of mixed boundary value problems on each subdomain is ...

This investigation incorporates digital numerical methods with neural networks for resolving an LCR circuit that shades the integro-differential equation. The variational iteration technique is needed ...