Power Series Method applied to Inverse Analysis in Chemical Kinetics Problem
2012
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.
Keywords:
- Mathematical optimization
- Exponential integrator
- Stochastic partial differential equation
- Examples of differential equations
- Mathematics
- Collocation method
- Separable partial differential equation
- Nonlinear system
- Multigrid method
- Mathematical analysis
- Numerical partial differential equations
- Adomian decomposition method
- Differential algebraic equation
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