A Spectral Method for Solving the Cauchy Problem
arXiv:1105.15631.21 citationsh-index: 2
Originality Incremental advance
AI Analysis
Provides a novel numerical method for solving ODEs, potentially useful for researchers in computational mathematics.
The paper introduces a spectral method for solving initial value problems for ODEs, using orthogonal exponential polynomials for approximation. The approach offers a new integration technique.
A new approach for integration of the initial value problem for ordinary differential equations is suggested. The algorithm is based on approximation of the solution by a system of functions that contains orthogonal exponential polynomials.