Abstract Hybrid Boundary Value Method (HyBVM) is a new scheme, which based on Linear Multistep (LMM). The HyBVM the hybrid version of Methods (BVMs) are methods derived to overcome limitations LMMs. This scheme shares same characteristic with Runge Kutta method as data utilized at off-step points. In this work, we apply two second order Problems (BVPs) mixed boundary conditions and results effi...

we consider a mixed boundary value problem for a quarter-plane with a robin condition on one edge. we have developed two procedures, one based on the advanced theory of dual integral equations and the other, in our opinion simpler technique, relying on conformal mapping. both of the procedures are of interest, because the former may be easier to adapt to other boundary value problems.

abstract.   the sturm-liouville boundary value problem of the multi-order fractional differential equation  is studied. results on the existence of solutions are established. the analysis relies on a weighted function space and a fixed point theorem. an example is given to illustrate the efficiency of the main theorems.

In chemical engineering, several processes are represented by singular boundary value problems. In general, classical numerical methods fail to produce good approximations for the singular boundary value problems. In this paper, Chebyshev finite difference (ChFD) method and DTM-Pad´e method, which is a combination of differential transform method (DTM) and Pad´e approximant, are applied for sol...