in this paper, we use a third degree b-spline function to construct an approximate solution forthird order linear and nonlinear boundary value problems coupled with the least square method. severalexamples are given to illustrate the efficiency of the proposed technique.

In recent times, numerical approximation of 3rd-order boundary value problems (BVPs) has attracted great attention due to its wide applications in solving arising from sciences and engineering. Hence, A higher-order block method is constructed for the direct solution linear non-linear BVPs. The approach interpolation collocation adopted derivation. Power series approximate interpolated at point...

A new one-step hybrid block method with two-point third derivatives is developed to solve the second-order boundary value problems (BVPs). The mathematical derivation of proposed based on interpolation and collocation methods. theoretical properties method, such as consistency convergence, are well analysed. Some BVPs different conditions solved demonstrate efficiency feasibility suggested meth...

In this paper the static, spherically symmetric and electrically charged black hole solutions in Einstein-Born-Infeld gravity with massive dilaton are investigated numerically. The Continuous Analog of Newton Method (CANM) is used to solve the corresponding non-linear multipoint boundary value problems (BVPs). The linearized BVPs are solved numerically by means of collocation scheme of fourth o...

Higher order differential equations have always been a tedious problem to solve for the mathematicians and engineers. Different numerical techniques were carried out to obtain numerical approximations to such problems. This research work presented and illustrated a novel numerical technique to approximate the tenth-order boundary value problems (BVPs). The techniques developed in this research ...