Power Series Method applied to Inverse Analysis in Chemical Kinetics Problem

2012/03/16 by Eduardo López-Sandoval, Alexandre Mello, Lopez-Sandoval, E. +5
Chemistry · Computer Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #FOS: Mathematics #Matrix Theory and Algorithms #NMR spectroscopy and applications #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1203.3800

openalex publication_date 2012/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Power Series Solution Method has been traditionally used to solve Ordinary and Partial Linear Differential Equations. However, despite their usefulness the application of this method has been limited to this particular kind of equations. In this work we use the method of power series to solve nonlinear partial differential equations. The method is applied to solve three versions of nonlinear time-dependent Burgers-Type differential equations in order to demonstrate its scope and applicability.

Related

• Power Series Solution to Non-Linear Partial Differential equations of Mathematical Physics
• A power series method for solving ordinary and partial differentials equations motivated by domain growth
• A sequence approach to solve the Burgers' equation
• Exact solution to a class of problems for the Burgers' equation on bounded intervals
• Universal Coefficients Formula for the Residual Power Series Method with General Integral Transform