Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
نویسندگان
چکیده
منابع مشابه
Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations
We consider the initial boundary value problem for the homogeneous time-fractional diffusion equation ∂ t u − ∆u = 0 (0 < α < 1) with initial condition u(x, 0) = v(x) and a homogeneous Dirichlet boundary condition in a bounded polygonal domain Ω. We shall study two semidiscrete approximation schemes, i.e., Galerkin FEM and lumped mass Galerkin FEM, by using piecewise linear functions. We establ...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2013
ISSN: 0036-1429,1095-7170
DOI: 10.1137/120873984