Closed Form Solutions to Nonlinear Heat Conduction Problems

What is it about?

This work presents a new analytical method for solving nonlinear heat conduction problems in arbitrary domains. The method is based on approximate mappings which transforms nonlinear partial differential equations into linear models which can be solved using standard techniques. In order to verify whether the proposed formulation can be employed to conceive new online control systems, numerical results are reported.

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Why is it important?

It is an analytical method for solving nonlinear heat conduction problems in arbitrary domains.