Hopscotch method: The numerical solution of the Frank-Kamenetskii partial differential equation
From MaRDI portal
Publication:618105
DOI10.1016/j.amc.2010.10.020zbMath1205.80086OpenAlexW1984967815WikidataQ115361641 ScholiaQ115361641MaRDI QIDQ618105
Publication date: 14 January 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.10.020
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Related Items
Extended split-step Fourier transform approach for accurate characterization of soliton propagation in a lossy optical fiber, New stable, explicit, second order hopscotch methods for diffusion-type problems, Matrix exponentiation and the Frank-Kamenetskii equation, Digital simulation of thermal reactions
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
- Numerical inversion of a Laplace transform solution of a diffusion equation with a mixed derivative term
- On the validity and stability of the method of lines for the solution of partial differential equations
- Strong stability results for the hopscotch method with applications to bending beam equations
- Symmetry analysis of differential equations with MATHEMATICA
- DIMSYM and LIE: Symmetry determination packages
- Linear stability of the hopscotch scheme
- Instability of invariant boundary conditions of a generalized Lane-Emden equation of the second-kind
- A THERMAL EXPLOSION IN A CYLINDRICAL VESSEL: A NON-CLASSICAL SYMMETRY APPROACH
- A New Group Hopscotch Method for the Numerical Solution of Partial Differential Equations
- Explicit-Implicit Schemes for the Numerical Solution of Nonlinear Hyperbolic Systems
- The Treatment of Boundary Singularities in Axially Symmetric Problems Containing Discs
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- STEADY STATE SOLUTIONS FOR A THERMAL EXPLOSION IN A CYLINDRICAL VESSEL
- Nonsymmetric Difference Equations
- Hopscotch: a Fast Second-order Partial Differential Equation Solver
- Some recent methods for the numerical solution of time-dependent partial differential equations
- Phase-Plane Analysis of Nonlinear, Second-Order, Ordinary Differential Equations
- Hopscotch Difference Methods for Nonlinear Hyperbolic Systems
- Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
- LIE, a PC program for Lie analysis of differential equations
