DeepAI AI Chat
Log In Sign Up

A transformation-based approach for solving stiff two-point boundary value problems

by   Denys Dragunov, et al.

A new approach for solving stiff boundary value problems for systems of ordinary differential equations is presented. Its idea essentially generalizes and extends that from arXiv:1601.04272v8. The approach can be viewed as a methodology framework that allows to enhance "stiffness resistance" of pretty much all the known numerical methods for solving two-point BVPs. The latter is demonstrated on the example of the trapezoidal scheme with the corresponding C++ source code available at <>.


page 1

page 2

page 3

page 4


Evaluation of a Fractional-Calculus-based Numerical Approach to solve Ordinary Differential Equations

This article examines a new approach to solving ordinary differential eq...

An iterative approximate method of solving boundary value problems using dual Bernstein polynomials

In this paper, we present a new iterative approximate method of solving ...

Multiphysics discovery with moving boundaries using Ensemble SINDy and Peridynamic Differential Operator

This study proposes a novel framework for learning the underlying physic...

Render unto Numerics : Orthogonal Polynomial Neural Operator for PDEs with Non-periodic Boundary Conditions

By learning the map between function spaces using carefully designed dee...

A Non-Iterative Transformation Method for a Class of Free Boundary Value Problems Governed by ODEs

The aim of this work is to point out that the class of free boundary pro...

Learning Residual Elastic Warps for Image Stitching under Dirichlet Boundary Condition

Trendy suggestions for learning-based elastic warps enable the deep imag...

UAST: Unicode Aware Sanskrit Transliteration

Devanagari is the writing system that is adapted by various languages li...