Ganiyu Ajileye

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Ganiyu verified their affiliation via an institutional email.

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• B.Tech.(FUTA); MSc (Uni. Agric. Makurdi); PhD (Mautech)
• Senior Lecturer at Federal University Wukari

This paper introduces an optimized hybrid block two-step method, comprising four off-grid collocation points for the direct solution of general third-order ordinary differential equations utilizing power series as a basis function. The method is based on interpolation of the solution and collocation of the differential equation using power series a...

In this paper, we developed and implemented a numerical method for the solution of Volterra integro-differential equations of fractional order using the collocation approach. We obtained the integral form of the problem, which is transformed into a system of algebraic equations using the standard collocation points. We then solve the algebraic equa...

In this research, we present a computational algorithm designed for solving eighth-order Boundary Value Problems(BVPs) using fourth-kind Chebyshev polynomials as basis functions. The method entails assuming an approximate solution employing fourth-kind shifted Chebyshev polynomials. Subsequently, this assumed solution is substituted into the genera...

The goal of this paper is to present a numerical method for solving the Volterra integral equations using the collocation approximation method with a power series polynomial. The modeled problem is converted into an algebraic equation system and solved using the standard collocation points. After establishing the approach's uniqueness and convergen...

In this paper, the standard collocation approach is used to solve multi-order fractional integro-differential equations using Caputo sense. We obtain the integral form of the problem and transform it into a system of linear algebraic equations using standard collocation points. The algebraic equations are then solved using the matrix inversion meth...

Inthisstudy,wedevelopandimplementanumericalapproachforsolvingfirst-orderVolterraintegro-differential equations. We derive the integral form of the problem, which is then transformed into analgebraic equation system using standard collocation points. We established the approach's uniquenessaswellasitsconvergenceandnumericalexampleswereusedtotestthem...

This work presents a collocation computational algorithm for solving linear Integro-Differential Equations (IDEs) of the Fredholm and Volterra types. The proposed method utilizes shifted Legendre polynomials and breaks down the problem into a series of linear algebraic equations. The matrix inversion technique is then employed to solve these equati...

A model for the life expectancy of West African nations is proposed in this paper using the regression analysis approach. The model shows how income is the major determining factor in the calculation of the life expectancy of individual citizens of West African countries. The model predictions were validated by using the sourced data, as the absolu...

In this study, we present a collocation computational technique for solving Volterra-Fredholm Integro-Differential Equations (VFIDEs) via fourth kind Chebyshev polynomials as basis functions. The method assumed an approximate solution by means of the fourth kind Chebyshev polynomials, which were then substituted into the Volterra-Fredholm Integro-D...

This study presents a collocation approach for the numerical integration of multi-order fractional differential equations with initial conditions in the Caputo sense. The problem was transformed from its integral form into a system of linear algebraic equations. Using matrix inversion, the algebraic equations are solved and their solutions are subs...

This paper consider collocation method for the numerical solution of Volterra integro-differential equation using polynomial basis functions. We convert modeled equation into a linear algebraic system of equations and matrix inversion is employed to solve the algebraic equation. We substitute the result of algebraic into the approximate solution to...

In this work, the collocation method is developed to solve the fractional integro-differential equations using the Caputo sense. The integral form of the problem is obtained and transformed into a system of linear algebraic equations. Computed results are solved using Maple 18 in order to show the efficiency and accuracy of the method.

In this study, we solve Fractional Volterra-Fredholm Integro-Di�er ential Equations (FVFIDEs) using the Bernstein Collocation Technique (BCT). The approach breaks the problem down into a set of linear algebraic equations, which are then resolved by matrix inversion to get the unknown constants. The accuracy and e�ectiveness of the procedure are dem...

This paper consider collocation approach for the numerical solution of Volterra-Fredholm Integro-differential equation using collocation method. We transformed the problem into a system of linear algebraic equations and matrix inversion is adopted to solve the algebraic equations. We substituted the solution algebraic equations into the approximate...

The Duffing equation is one of the most unique and special non-linear differential equations in light of its many real-world applications in areas ranging from physics to economics. This paper sets out to investigate and study some existing numerical methods proposed by different authors over the years and subsequently develop an alternative comput...

In this work, a collocation technique is used to determine the computational solution to fractional order Fredholm-Volterra integro-differential equations with boundary conditions using Caputo sense. We obtained the linear integral form of the problem and transformed it into a system of linear algebraic equations using standard collocation points....

The impacts of magnetohydrodynamic (MHD) heat and mass transfer fluid flow via a vertical porous plate with varying suction, Reynolds number, and chemical reaction are investigated in this work. With appropriate boundary conditions, the governing boundary-layer equations are formulated in the ( x* , y* , t*) coordinate system. For non-scattering me...

The simulation of one-step methods using interpolation and collocation for the treatment of higher order initial value problems is proposed in this paper. The new approach is derived using interpolation and collocation as a basic function through power series polynomial, where the basic properties are also analyzed. The derived method is used to tr...

In this paper, we consider the derivation of hybrid block method for the solution of general first order Initial Value Problem (IVP) in Ordinary Differential Equation. We adopted the method of Collocation and Interpolation of power series approximation to generate the continuous formula. The properties and feature of the method are analyzed and som...

In this paper, an implicit one-step method with three off-grid points for numerical solution of second order initial value problems of ordinary differential equation has been developed by collocation and interpolation technique. The one-step method was developed using Laguerre polynomial as basis function and the method was augmented by the introdu...