GitHub

Fenrir: Physics-Enhanced Regression for Initial Value Problems - Experiments

This repo contains the experiment code for the paper "Fenrir: Physics-Enhanced Regression for Initial Value Problems", accepted at ICML 2022 (link). The functionality of this paper is available in ...
IEEE

Iterating the classical symmetries method to solve initial value problems

Abstract: This paper demonstrates how the infinite‐dimensional part of the classical symmetry algebra of linear partial differential equations can be used to find solutions to initial value problems.
Scientific Research Publishing

Consistency and Stability Issues in the Numerical Integration of the First and Second Order Initial Value Problem ()

In this note we consider some basic, yet unusual, issues pertaining to the accuracy and stability of numerical integration methods to follow the solution of first order and second order initial value ...
Scientific Research Publishing

Numerical solutions of second order initial value problems of Bratu-type via optimal homotopy asymptotic method ()

We present the optimal homotopy asymptotic method (OHAM) to find the numerical solution of the second order initial value problems of Bratu-type. We solve some examples to illustrate the validity and ...
IEEE

First Order Initial Value Problems: An Explicit One-Step Method Combining Three Interpolants

Abstract: It is a known fact that mathematics, computational science, and engineering all heavily rely on the numerical solution of initial value problems. In this study, an explicit one- strategy to ...