Efficient Krylov-based exponential time differencing method in application to 3D advection-diffusion-reaction systems
Efficient Krylov-based exponential time differencing method in application to 3D advection-diffusion-reaction systems is a scholarly work, published in 2018 in ''Applied Mathematics and Computation''. The main subjects of the publication include mathematics, nonlinear system, Krylov subspace, matrix exponential, еxponential integrator, exponential function, applied mathematics, numerical linear algebra, finite-difference time-domain method, truncation error, numerical method for ordinary differential equations, ordinary differential equation, partial differential equation, Truncation, differential equation, Burgers' equation, matrix, and mathematical analysis. Calculation of local truncation error and empirical convergence analysis indicate the proposed method is second-order accurate in time.