Abstract
In this paper, the diffusion equations under square and cubic nonlinearities without stochastic homogeneity are solved using the homotopy perturbation method (HPM). The solution average is computed up to fourth order approximation while the covariance is computed up to second order approximation only. The method of analysis is illustrated through case studies and figures.
Original language | English (US) |
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Pages (from-to) | 687-698 |
Number of pages | 12 |
Journal | International Journal of Nonlinear Sciences and Numerical Simulation |
Volume | 10 |
Issue number | 5 |
DOIs | |
State | Published - May 2009 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Computational Mechanics
- Modeling and Simulation
- Engineering (miscellaneous)
- Mechanics of Materials
- General Physics and Astronomy
- Applied Mathematics