2 papers
math.NA2025
Numerical approximation of Caputo-type advection-diffusion equations in one and multiple spatial dimensions via shifted Chebyshev polynomials
Francisco de la Hoz, Peru Muniain
In this paper, using a pseudospectral approach, we develop operational matrices based on the shifted Chebyshev polynomials to approximate numerically Caputo fractional derivatives…
math.NA2025
Numerical approximation of Caputo-type advection-diffusion equations via Sylvester equations
Francisco de la Hoz, Peru Muniain
In this paper, we approximate numerically the solution of Caputo-type advection-diffusion equations of the form $D_t^α u(t,x) = a_1(x)u_{xx}(t,x) + a_2(x)u_x(t,x) + a_3u(t,x) + a_4…