Matrix exponentiation and the Frank-Kamenetskii equation

DOI10.1155/2012/713798zbMath1264.65071OpenAlexW2026347089WikidataQ58911623 ScholiaQ58911623MaRDI QIDQ1955104

Ebrahim Momoniat

Publication date: 11 June 2013

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/713798

Mathematics Subject Classification ID

Matrix exponential and similar functions of matrices (15A16) Numerical computation of matrix exponential and similar matrix functions (65F60)

Uses Software

• Expokit
• Expint

Cites Work

• Unnamed Item
• An implicit series solution for a boundary value problem modelling a thermal explosion
• Hopscotch method: The numerical solution of the Frank-Kamenetskii partial differential equation
• Digital simulation of thermal reactions
• The numerical solution for reaction--diffusion combustion with fuel consumption
• A class of explicit multistep exponential integrators for semilinear problems
• Direct evaluation of branching points for equations arising in the theory of explosions of solid explosives
• Choosing the best approach to matrix exponentiation
• Critical values for some non-class \(A\) geometries in thermal ignition theory
• A class of explicit exponential general linear methods
• Strong Stability-Preserving High-Order Time Discretization Methods
• Exponential integrators
• A THERMAL EXPLOSION IN A CYLINDRICAL VESSEL: A NON-CLASSICAL SYMMETRY APPROACH
• Reaction-Diffusion Model for Combustion with Fuel Consumption: I. Dirichlet Boundary Conditions
• Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
• Expokit
• Reaction-diffusion model for combustion with fuel consumption: II. Robin boundary conditions
• Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later
• The method of fundamental solutions for non‐linear thermal explosions
• Fourth-Order Time-Stepping for Stiff PDEs
• Phase-Plane Analysis of Nonlinear, Second-Order, Ordinary Differential Equations
• Efficient Computation of the Matrix Exponential by Generalized Polar Decompositions