The series solution method, the perturbation methods, the asymptotic methods, and the latest homotopy methods. what is the importance of these procedures?

are they important to biologists, physicists, and economists as much as they are important to mathematicians and engineers?

could you please give an example or a references discuss the use of these methods to solve a real life problems modeled by Partial differential equations?

Best regards

Sarmad.

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