Abstract:

In this paper, we determine the complex-valued solutions of the following functional equations:
g(xσ(y)) = g(x)g(y)+ f (x) f (y), x,y ∈ S,
f (xσ(y)) = f (x)g(y)+ f (y)g(x), x,y &i Read more

Abstract: Numerous real-world models in engineering and applied sciences frequently involve nonlinear equations that call for trustworthy numerical techniques to solve. Existing iterative methods are constantly being modified Read more

Abstract: 

The Sierpinski carpet was developed as a two-dimension extension of the Cantor set. Here we discuss the artistic expression of such carpets along with the development of more visually pleasing Sierpi Read more

Abstract: The principal objective of this work is to propose a fourth order scheme for solving a nonlinear equation. In terms of computational cost, per iteration, the fourth order method uses two evaluation of the funct Read more

Abstract: The principal objective of this work is to propose a fourth order scheme for solving a nonlinear equation. In terms of computational cost, per iteration, the fourth order method uses two evaluation of the function a Read more

Mathematical modeling has become an indispensable tool in understanding and controlling the spread of infectious diseases. From classical compartmental models such as the SIR framework to advanced agent-based and stochastic approaches, mathematics Read more

Abstract: We developed a completely new, eighth- and fourth-order optimal approach for solving nonlinear equations in this study. With three function evaluations, the new methods’ convergence order is four; with four functio Read more

Abstract: This paper presents a piecewise-linear approach for motion planning in uncertain environments punctured with static and moving obstacles. In such environments robots may encounter obstacles with unknown sizes, shape Read more

Abstract: Monkeypox, a viral zoonotic disease caused by the monkeypox virus and primarily transmitted through close contact with infected animals and humans, poses a growing public health challenge, especially in endemic regi Read more

Abstract : Malaria, Rift Valley Fever, Dengue Fever and West Nile Fever are vector-host infections that are endemic among most of the populations mainly across the tropical regions. As much as these diseases are treatable and Read more