Evaluation of branching points for nonlinear boundary-value problems based on the GPM technique
Abstract
A general direct-iteration algorithm for the evaluation of branching points in nonlinear boundary-value problems is suggested. The method proposed takes advantage of the general parameter mapping (GPM) concept. The present analysis also encompasses the determination of branching points in nonlinear algebraic equations. The method can be applied to problems arising in a number of physical and mathematical applications, and is tailored to problems of diffusion and heat conduction accompanied by a chemical reaction.
- Publication:
-
Applied Mathematics Computation
- Pub Date:
- 1975
- Bibcode:
- 1975ApMaC...1..341K
- Keywords:
-
- Boundary Value Problems;
- Branching (Mathematics);
- Newton-Raphson Method;
- Nonlinear Equations;
- Parameterization;
- Algorithms;
- Chemical Engineering;
- Differential Equations;
- Iterative Solution;
- Fluid Mechanics and Heat Transfer