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What is Nonlinear Diffusion Equation Solution about?
The document presents an analytical solution to the nonlinear fractional diffusion equation using the q-homotopy analysis transform method (q-HATM). The fractional derivatives are defined using the Caputo definition. The q-HATM approach constructs a homotopy equation that depends on an embedding parameter q, allowing the solution to vary continuously from an initial guess to the final solution as q goes from 0 to 1/n. The solution process involves taking the Laplace transform of the nonlinear diffusion equa
- Author
- Mohmead Alawi
- Language
- EN