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What is Homotopy Analysis for PDE Solutions about?

The document describes using the homotopy analysis method (HAM) to obtain approximate analytical solutions to systems of partial differential equations (PDEs). HAM is applied to solve both linear and nonlinear systems of first- and second-order PDEs. It is shown that the solutions obtained from the variational iteration method are special cases of the HAM solutions. As an example, HAM is used to find the analytical solution to a homogeneous linear system of PDEs governing heat transfer, with the solutions e

Author

FauziaAnisatulFarida

Language

EN