PARTIAL DIFFERENTIAL EQUATIONS (PDE) FOR ENGINEERS: SOLUTION BY SEPARATION OF VARIABLES
Modeling is essential and imperative for understanding dynamics of a large scale process. One can
undertake a large number of virtual experiments based on the model equations of a process to optimize
the operating conditions and/or design the system efficiently. In most of the practical processes, model
equations involve more than one parameters leading to partial differential equations (PDE). Various
solutions techniques are adopted by the process engineers to solve the partial differential equations.
Separation of variables is one of the most robust techniques used for analytical solution of PDEs. This
technique provides first hand information of process dynamics rendering it amenable for optimization of
system performance. This course aims to develop the solutions techniques and hence the skills of the
students to solve PDEs for any engineering applications.