Walter L. Whipple
Abstract
Most simultaneous algebraic equations encountered in simulation studies are non-linear or will be treated as if they were in order to obtain a solution in reasonable memory space. In some cases an assumption of piecewise linearity is warranted.
Recommendations
Efficient and accurate finite difference schemes for solving one-dimensional Burgers' equation
In this paper, two efficient fourth-order compact finite difference algorithms have been developed to solve the one-dimensional Burgers' equation: ut+u ux=ε uxx. The methods are based on the Hopf-Cole transformation, Richardson's extrapolation, and ...
Numerical approach for solving fractional Fredholm integro-differential equation
In this article, we present a new method which is based on the Taylor Matrix Method to give approximate solution of the linear fractional Fredholm integro-differential equations. This method is based on first taking the truncated Taylor expansions of ...
Solving fractional Riccati differential equation based on operational matrices
In this paper, the solution of fractional Riccati differential equation by using the operational matrix of shifted Legendre polynomial is discussed. The properties of shifted Legendre polynomials together with the Caputo fractional derivative are used ...
Comments