Numerical Solutions of a Class of Integral Equations and the Associated Partial Differential Equations
2016
In this paper, we consider a class of integral equations associated with the invariant mean value property of ℳ-harmonic functions. We present an algorithm to obtain numerical solutions of these integral equations. We derive the equivalent partial differential equations and discuss methods to obtain numerical solutions of these partial differential equations.
Keywords:
- Simultaneous equations
- Exponential integrator
- Stochastic partial differential equation
- Method of characteristics
- Numerical stability
- Mathematical optimization
- Mathematical analysis
- Multigrid method
- Mathematics
- Collocation method
- Numerical partial differential equations
- Fourier integral operator
- Differential algebraic equation
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