Lecturer at KTU, in applied mathematics and adjunct lecturer at vvu, l hold MPhil. PGDE and Bsc. Math and currently pursuing. PhD. in Special functions of mathematical physics Address: Ghana
... far. I sincerely thank Dr. Daniel Amponsah (aka. Agya Koo Nimo) whose intense passion for our... more ... far. I sincerely thank Dr. Daniel Amponsah (aka. Agya Koo Nimo) whose intense passion for our local percussions and stringed instruments made him coin the idea of researching into our local drums. He is an indispensable inspiration for the preparation of this research work. ...
Journal of Advances in Mathematics and Computer Science, 2019
In this paper, we develop an approach for finding the cofactor, ad joint, determinant and inverse... more In this paper, we develop an approach for finding the cofactor, ad joint, determinant and inverse of a three by three matrix under the Cell Arrangements method using the coefficient matrix of a given systems of linear equation in three unknowns. The method takes out completely the seemingly daunting task in evaluating such matrices associated to the standard matrix method in solving simultaneous equation in three variable. Unlike the standard matrix method that goes through a lengthy process to obtain separately all the matrices necessary for the determination of the unknowns, the structural frame of the Cell Arrangement method comes in handy and are consistent with the results from systems that have unique solutions. This alternative approach provides all the vital hybrid matrices of the coefficient matrix needed in the determination of the unknowns of the system of equations in three variables. It is our view that by far, the Cell arrangement method is easy to work with and less p...
Most drums used in Africa and in other parts of the world have varied shapes and sizes in their d... more Most drums used in Africa and in other parts of the world have varied shapes and sizes in their design. The hourglass shaped talking drums in Ghana is a pressurized drum which alters the tension on the drumhead, and as a result the pitches of the sounds emanating from it due to the strings that hold the drumhead in place, both from its upper and lower circumference. Remarkably, and in contrast to the circular drum with constant tension on the drum head, this drum possesses both harmonic and rhythmic characteristics. In this work the drumhead is modeled, by making the tension in it to vary as a periodic function of time, using the two dimensional wave equation. The separated Ordinary Differential Equations (ODEs) are solved and the Fourier-Bessel coefficients are determined using the initial and boundary conditions imposed on the equation. For a suitable choice of radial functions, the normal modes from our model are in good agreement with experimental values for harmonic instruments which produce integral overtones.
... far. I sincerely thank Dr. Daniel Amponsah (aka. Agya Koo Nimo) whose intense passion for our... more ... far. I sincerely thank Dr. Daniel Amponsah (aka. Agya Koo Nimo) whose intense passion for our local percussions and stringed instruments made him coin the idea of researching into our local drums. He is an indispensable inspiration for the preparation of this research work. ...
Journal of Advances in Mathematics and Computer Science, 2019
In this paper, we develop an approach for finding the cofactor, ad joint, determinant and inverse... more In this paper, we develop an approach for finding the cofactor, ad joint, determinant and inverse of a three by three matrix under the Cell Arrangements method using the coefficient matrix of a given systems of linear equation in three unknowns. The method takes out completely the seemingly daunting task in evaluating such matrices associated to the standard matrix method in solving simultaneous equation in three variable. Unlike the standard matrix method that goes through a lengthy process to obtain separately all the matrices necessary for the determination of the unknowns, the structural frame of the Cell Arrangement method comes in handy and are consistent with the results from systems that have unique solutions. This alternative approach provides all the vital hybrid matrices of the coefficient matrix needed in the determination of the unknowns of the system of equations in three variables. It is our view that by far, the Cell arrangement method is easy to work with and less p...
Most drums used in Africa and in other parts of the world have varied shapes and sizes in their d... more Most drums used in Africa and in other parts of the world have varied shapes and sizes in their design. The hourglass shaped talking drums in Ghana is a pressurized drum which alters the tension on the drumhead, and as a result the pitches of the sounds emanating from it due to the strings that hold the drumhead in place, both from its upper and lower circumference. Remarkably, and in contrast to the circular drum with constant tension on the drum head, this drum possesses both harmonic and rhythmic characteristics. In this work the drumhead is modeled, by making the tension in it to vary as a periodic function of time, using the two dimensional wave equation. The separated Ordinary Differential Equations (ODEs) are solved and the Fourier-Bessel coefficients are determined using the initial and boundary conditions imposed on the equation. For a suitable choice of radial functions, the normal modes from our model are in good agreement with experimental values for harmonic instruments which produce integral overtones.
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