In this paper, the Bernstein collocation method (BCM) is used for first time to solve nonlinear magnetohydrodynamics (MHD) Jeffery–Hamel arterial blood flow issue. The model described by partial differential equations transformed a third-order one-dimensional equation. By using method, problem into system of algebraic equations. residual correction procedure estimate error; it simple use and ca...

This paper presents the solution of the nonlinear equation that governs the flow of a viscous, incompressible fluid between two converging-diverging rigid walls using an improved homotopy analysis method. The results obtained by this new technique show that the improved homotopy analysis method converges much faster than both the homotopy analysis method and the optimal homotopy asymptotic meth...

Elliptic functions and integrals are not as widely known in the scientific populace as they have been in the past, even though they can still be used to solve an impressive array of applied problems. Computer Algebra Systems (CAS) have stepped into this knowledge gap and claim to provide access to many of the formulae that have proven so useful. This paper takes a classical problem in two-dimen...