Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
Numerical Approximation of a Time Dependent, Nonlinear, Space‐Fractional Diffusion Equation
In this article we analyze a fully discrete numerical approximation to a time dependent fractional order diffusion equation which contains a nonlocal quadratic nonlinearity. The analysis is performed for a general fractional order diffusion operator. The nonlinear term studied is a product of the unknown function and a convolution operator …