In this thesis, accelerated finite difference method for solving singularly perturbed
boundary value problems with two small parameters is presented. First, the solution domain
is discretized. Then, the derivatives in ...
Tolesa Adugna; Dr .Mitiku Daba; Habtamu Bayissa(2020-08)
In this thesis, the problem of the magneto hydrodynamic slips flow of heat and mass transfer
over an exponentially stretching permeable sheet embedded in a porous medium with
chemical reaction. Using a suitable similarity ...
In this thesis, eighth order predictor-corrector method is presented for solving
quadratic Riccati differential equations. The solution domain is discretized and
the stability and convergence of the method have been ...
In this thesis, we consider the fourth order two point boundary value problems.
It also focused on constructing Green’s function for corresponding homogeneous
equation by using its property and the main objective of this ...
The purpose of this research is to establish the existence and uniqueness of coupled
coincidence and coupled common fixed point results of mixed monotone mappings
in the setting of partially ordered metric spaces. The ...
In this thesis, eighth order predictor-corrector method is presented for solving
quadratic Riccati differential equations. The solution domain is discretized and
the stability and convergence of the method have been ...
In this thesis, stability and bifurcation analysis of Rikitake model was considered. By the aid of
divergence, the system is proved to be dissipative. Two Steady state points of the equations were
determined. The equations ...
In this thesis, stability and bifurcation analysis of Maxwell-Bloch equations were considered. By
the aid of divergence test, it was proved that the system is dissipative. Steady state points of the
equations were ...
In this study, accelerated non-standard finite difference method is presented for solving
singularly perturbed reaction-diffusion boundary value problems. Richardson extrapolation
technique helps to improve accuracy of ...
Jema l Nesru; Wesen Legesse; Girma Kebede(2020-02)
This thesis is concerned with second-order three-point undamped non-linear
boundary value problems. It also focused on constructing Green’s function for
corresponding homogeneous boundary value problems by using Green’s ...
Dynamics of interacting biological species has been studied in the past few decades from various
angles. Many species become extinct and many others are at the verge of extinction due to
several reasons like, over ...
In this research work, based on the recent work of Choudhury et al., (2017), we established a
coupled fixed point theorem of Chatterjea φ-contraction type coupling in metric spaces and
proved the existence and uniqueness ...
In this thesis, we present non-polynomial septic spline method for solving third order type singularly
perturbed boundary value problems. First, the given system is discretized. Then, the spline
coefficients are derived ...
In this thesis, Extrapolated Refinement of Generalized Gauss-Seidel scheme for solving system of
linear equations has been developed. In order to accelerate the rate of convergence of the
scheme, the one-parameter family ...
This thesis concerned with second-order undamped three point boundary value
problem. It also focused on constructing Green’s function for corresponding homogeneous equation by using its properties. Under the suitable ...
Traditional coffee management varies across location and may result in different
effect on structure and regeneration of woody species. This study was aimed to
investigate the effect of forest coffee management practices ...
In 1928, George Gamow used some knowledge about tunneling and the WentzelKramers-Brillouin approximation(to the one-dimensional time independent Schrodinger
equation) to provide the first theoretical account of alpha decay ...
The purpose of this research is to construct the theorems and prove the existence and
uniqueness of common fixed point results of s−α contraction for a pair of maps in
the setting of b - dislocated metric spaces. Our ...
The astrophysics of Active Galactic Nuclei (AGN) is one of the long outstanding issues in searches among the scientific communities raised with diverse perspectives like nebula, quasars, etc some decades ago. Currently, ...
The absorption coefficient and attenuation of electromagnetic waves are studied analytically and numerically in a nanoellipsoidal metal dielectric composites. The dielectric constant of nano composite is solved analytically ...