In this paper, some modifications of Adomian decomposition method are presented for solving initial value problems in ordinary differential equations. Also, the restarted and two-step methods are ...

In this paper, a new Fourier-differential transform method (FDTM) based on differential transformation method (DTM) is proposed. The method can effectively and quickly solve linear and nonlinear ...

Numerical Differential Equations is a field of mathematics that deals with the numerical approximation of solutions to differential equations. Differential equations are used to model various ...

Abstract: Monte Carlo method was a new numerical method different from traditional method. It was based on probability and statistics theory, so it was also called as random sampling or statistical ...

Abstract: This paper introduces Physics-Informed Deep Equilibrium Models (PIDEQs) for solving initial value problems (IVPs) of ordinary differential equations (ODEs). Leveraging recent advancements in ...

In this repository we will show how to use different methods for solving ordinary differential equations. In the introduction, we will discuss about differential equations and the methods to solve ...

Calculation: A representation of a network of electromagnetic waveguides (left) being used to solve Dirichlet boundary value problems. The coloured diagrams at right represent the normalized ...

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