In this paper, the time-fractional heat equation with the Caputo derivative of order α where 0 < α ≤ 1 is considered. The parametric Crank-Nicholson type method for direct problems is used. But for ...

SIAM Journal on Numerical Analysis contains research articles on the development and analysis of numerical methods including their convergence, stability, and error ...

Accurate prediction of radiative heating during rocket descent poses a fundamental challenge for reusable launch vehicle design. Traditional methods struggle to balance computational cost with ...