Hybrid numerical methods for solving direct solution of initial value problems of general second order differential equations have been studied in this dissertation. Using power series as the basis function, the collocation ...

This research work considered three – quarter step hybrid method for the solution of second order differential equations. In order to develop the methods, collocation and interpolation are carried out using power series ...

This research work presented a fifth-order block method for solving general fourth-order initial value problems of ordinary differential equations with initial value problems. Method of collocation and interpolation of ...

Optimal control problems constrained by ordinary differential equations, delay differential equationsand two-dimensional optimal control problem with vector and matrix coefficients are considered. The Solution of optimal ...

This research focuses on derivation of Chebyshev-fitted hybrid methods for solving initial value problems of fourth order ordinary differential equations. In the derivation, Chebyshev polynomial of first kind was used ...

In this study, the investigation on the flow of magnetohydrodynamic (MHD) reactive third grade viscous fluid between convective cooling horizontal plates with variable thermal conductivity, viscosity and pre-exponential ...

In this research, Legendre-fitted Linear Multistep Methods (LLMMs) for general fourth order Ordinary Differential Equations (ODEs) were developed and implemented in predictorcorrector mode. In the derivation, Legendre ...

In this thesis, Implicit Hybrid Numerov-type Methods for Direct Solution of Fourth-order ordinary differential equations (ODEs) have been developed. The interpolation and collocation techniques are applied to generate ...

In this thesis, the problem of the dynamic analysis of elastic structures resting on Bi-parametric Vlasov foundation namely; uniform Rayleigh beams, non-uniform Rayleigh beams and isotropic rectangular plates under the ...

In this thesis, the problem of the transverse motions of Timoshenko beam-type resting on Vlasov foundation and under the actions of partially distributed masses is studied. In particular, Uniform and Non-uniform ...