Numerical methods for differential and integral equations are indispensable in modern applied mathematics and engineering, offering tools to approximate complex physical phenomena where analytical ...
Abstract: Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations. There is a vital role for differential equations in ...
Department of Mathematical Sciences, Crescent University, Abeokuta, Nigeria. Department of Mathematics, College of Science & Technology, Covenant University, Otta, Nigeria. Most of the problems ...
Abstract: The constraints and limits of perturbation methods can be overcome by HAM, and hence allowing us to investigate severely nonlinear issues that would otherwise be impossible to investigate.
A large number of problems in engineering can be formulated as the optimization of certain functionals. In this paper, we present an algorithm that uses the augmented Lagrangian methods for finding ...
The fractional-order nonlinear Gardner and Cahn–Hilliard equations are often used to model ultra-short burst beams of light, complex fields of optics, photonic transmission systems, ions, and other ...
In the course Numerical Solutions of Differential Equations Projects of 2019 spring, three projects should be finished in order to complete the course. I give codes and reports of the three projects ...
Mathematics of Computation, Vol. 49, No. 180 (Oct., 1987), pp. 523-542 (20 pages) We present Runge-Kutta methods of high accuracy for stochastic differential ...
1 Department of Applied Mathematics, Adama Science and Technology University, Adama, Ethiopia 2 Department of Mathematics, Jimma University, Jimma, Ethiopia In general, the classical numerical methods ...
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