In an attempt to create an iterative method that may converge even if the first derivative disappears during the recursive process. This paper sets out to develop a class of optimal fourth-order methods based on Wu's modified Newton scheme for solving nonlinear equations without...
Open access
Research Article10.9734/jamcs/2023/v38i41757
This study presents a theorem for resolving certain integrals. These integrals usually arise in the Correction Functional of the Variational Iteration Method (VIM). Resolving these integrals in the Correction Functional of VIM enables the accurate determination of the Lagrange mu...
Open access
Research Article10.9734/jamcs/2023/v38i41753
The present study investigates the pendant number of certain graph classes; complement, line graphs, and total graphs. The pendant number is the minimum number of end vertices of paths in a path decomposition of a graph. A path decomposition of a graph is a decomposition of it in...
Open access
Research Article10.9734/jamcs/2023/v38i41756
Inspired by the COVID-19 pandemic, this paper investigates the feasibility of obtaining good convergence results for a nonhomogeneous Volterra-Fredholm integral equation model of the second kind. Volterra-Fredholm integral equations are often used to model infection and recovery...
Open access
Research Article10.9734/jamcs/2023/v38i41752
We design an approximation algorithm for maximizing \(\alpha\)-bisubmodular function with matroid constraint, where the \(\alpha\)-bisubmodular function is a generalization of a bisubmodular function. The concept of \(\alpha\)- bisubmodularity is provided by Huber, Krokhin, and P...
Open access
Research Article10.9734/jamcs/2023/v38i31750
Discussions are presented by Morita and Sato on the problem of obtaining the particular solution of an inhomogeneous differential equation with polynomial coefficients in terms of the Green's function. In the present paper, solution is given without using the Green's function, on...
Open access
Research Article10.9734/jamcs/2023/v38i31751
In this paper, we define and investigate the generalized Friedrich sequences and we deal with, in detail, two special cases, namely, Friedrich and Friedrich-Lucas sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these s...
Open access
Research Article10.9734/jamcs/2023/v38i31748
The security of data encrypted with an encryption algorithm should be guaranteed such that it is never easy for a third party to recover the message from the encrypted data. To this effect, ECC has been a reliable option. However, the base equation that defines the security of El...
Open access
Research Article10.9734/jamcs/2023/v38i31749
A fixed point method is developed on a mesh for the solution of nonlinear Fredholm equation. First, the problem is collocated at mesh points and a second order quadrature rule is used to approximate the nonlinear integral. Under the assumption of nonexpansivity of self-map, we co...
Open access
Research Article10.9734/jamcs/2023/v38i31747
The work presents one dimensional heat transfer in a media with temperature-dependent thermal conductivity. We solve numerically the one-dimensional unsteady heat conduction equation subject to initial condition and integral boundary conditions. We first discertize the equation i...
Open access
Research Article10.9734/jamcs/2023/v38i21745
Aims: This study aims to analyze the distance and intensity of light that is effective in displaying 3-dimensional virtual object images from applications using 3 different types of smartphone device models, and also to evaluate the level of user satisfaction using the USE Questi...
Open access
Research Article10.9734/jamcs/2023/v38i21746
This study examines the effect of viscosity and magnetic field on a non-isothermal cylindrical channel flow. This work considered a model of convective-thermal-diffusion with constant viscosity and magnetic field. The governing model equations are nondimensionalized using the di...
Open access
Research Article10.9734/jamcs/2023/v38i21744
In this paper, we extract some novel solitary wave solutions in terms of hyperbolic functions to the Jimbo-Miwa model. The sine-Gordon expansion method is used to investigate the proposed model. By using graphical analysis, we show the impact the solution’s which are very impactf...
Open access
Research Article10.9734/jamcs/2023/v38i21743
In this paper, we characterize Murray-von Neumann equivalent projections. We also investigate and compare the relationship between the Murray von Neumann relation and other equivalence relations on the set P (B (H)) of orthogonal projections in the von Neumann algebra B (H).
Open access
Research Article10.9734/jamcs/2023/v38i11740