SIAM Journal on Numerical Analysis, Vol. 31, No. 3 (Jun., 1994), pp. 655-679 (25 pages) The accuracy of numerical approximations to piecewise smooth solutions of hyperbolic partial differential ...
Two difference-approximation schemes to a nonlinear pseudo-parabolic equation are developed. Each of these schemes is stable and possesses a unique solution which can be obtained by an iterative ...
Parabolic partial differential equations (PDEs) are fundamental in modelling a wide range of diffusion processes in physics, finance and engineering. The numerical approximation of these equations ...
In Advanced Mathematics, there is a topic called ‘ Errors and Approximations ‘ which deals with the quantum of errors made in measurement or estimation and its impact on final data value. The ...