Numerical solution of the boundary layer equations without similarity assumptions

In this paper a method for the numerical solution of distributed order FDEs (fractional differential equations) of a general form is presented. The method applies to both linear and nonlinear equations. The Caputo type fractional derivative is employed. ...

This paper extends the theory of shooting and finite-difference methods for linear boundary value problems (BVPs) in ordinary differential equations (ODEs) to BVPs in differential-algebraic equations (DAEs) of the form \[ \begin{gathered} E(t)\mathcal{...

Singularly perturbed two-point boundary-value problems (BVPs) having less severe boundary layers are considered. A method is presented in this paper to solve these problems numerically. The domain of definition of the differential equation is divided ...