Heat conduction with mixed derivatives
DOI10.1080/00207160410001715294zbMath1056.65100OpenAlexW2003529859MaRDI QIDQ4828664
Publication date: 26 November 2004
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160410001715294
heat equationinverse problemCauchy problemnumerical examplesAdomian decomposition methodmixed derivatives
Heat equation (35K05) Inverse problems for PDEs (35R30) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Cites Work
- An approximation theorem for functionals, with applications in continuum mechanics
- Modification of the decomposition approach to the heat equation
- A new approach to the heat equation - an application of the decomposition method
- A further consideration of partial solutions in the decomposition method
- Instability, uniqueness, and nonexistence theorems for the equation \(u_t=u_{xx}-u_{xtx}\) on a strip
- The decomposition approach to inverse heat conduction
- Decomposition methods: A new proof of convergence
- Nonlinear equations with mixed derivatives
- A computational algebraic investigation of the decomposition method for time-dependent problems
- On a theory of heat conduction involving two temperature
- A Laguerre expansion of the Cauchy problem for the diffusion equation
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