Power Series Method applied to Inverse Analysis in Chemical Kinetics Problem
For researchers in applied mathematics and chemical kinetics, this work extends a classical method to nonlinear problems, but the results are incremental and lack concrete performance metrics.
The authors apply the power series method to solve nonlinear Burgers-type equations, demonstrating its applicability beyond linear differential equations.
Power Series Solution Method has been traditionally used to solve Ordinary and Partial Linear Differential Equations. However, despite their usefulness the application of this method has been limited to this particular kind of equations. In this work we use the method of power series to solve nonlinear partial differential equations. The method is applied to solve three versions of nonlinear time-dependent Burgers-Type differential equations in order to demonstrate its scope and applicability.