Meet KAZEEM TOLULOPE MOSHOOD, an Academic Staff of Lagos State University.
Numerical Analysis
Assistant Lecturer
Mathematics
At the Mathematics department office
Appointment on Visitation important
Topic: A Seven-step Symmetric Linear Multistep Method For Solving Second-order Ordinary Differential Equations.
Description: This work presents a seven-step Symmetric Linear Multistep Method for solving second-order ordinary differential equations. The methodology involves Taylor expansion together with a linear difference operator. The resulting method consists of seven steps and has order eight. The stability, consistency, convergence properties, as well as local truncation error of the constructed method, are presented. The accuracy and efficiency of the method were established by implementing the proposed method on some standard test problems and the results obtained are compared with those discussed in the literature. From the results, our proposed method gave better accuracy compared with those discussed in the literature.
| # | Certificate | School | Year |
|---|---|---|---|
| 1. | M.Sc (Mathematics) | Lagos State University Ojo Lagos | 2023 |
SOME SPECIAL SOLUTIONS OF DICONFLUENT HEUN EQUATION IN ELEMENTARY FUNCTIONS BY EXTENDED NIKIFOROV-UVAROV METHOD
The present study extends the well-known Nikiforov-Uvarov (NU) method to the Di-Confluent Heun's equation, which arises in various branches of mathematical physics. By adapting the NU method to this class of differential equations, we derived several distinct analytical solution forms. Each solution corresponds to a specific set of eigenvalues explicitly determined in the process. To begin, the fundamental steps of the Nikiforov-Uvarov method were outlined, including transforming the original equation into a hypergeometric-type form, identifying the appropriate parameters, and constructing the corresponding eigenfunctions. Through these steps, complete solutions to the Di-Confluent Heun's equation were obtained. The results confirm the effectiveness and flexibility of the NU method when extended beyond its conventional applications. Although the standard NU technique is typically limited to differential equations with at most three singular points, this study demonstrates its successful application to the Di-Confluent case. This suggests that with appropriate modifications, the method may also be extended to Confluent, Bi-Confluent, and Tri-Confluent Heun's equations for broader applicability.
KAZEEM MOSHOOD is a Assistant Lecturer at the Department of Mathematics
KAZEEM has a M.Sc in Mathematics from Lagos State University Ojo Lagos
