An innovative algorithm based on wavelets for solving three-dimensional nanofluid bio-convection model near a stagnation point

Abstract

In this article, we are mainly targeting a new numerical algorithm based on Euler wavelets for solving a system of partial differential equations (PDEs) represented a 3D nanofluid bio convection model near a stagnation point. The model expresses the conservation of momentum, microorganisms, thermal energy, nanoparticles and total mass via a set of governing equations. We use Buongiorno’s setting to obtain a generated system and reduce it to nonlinear ordinary differential equations (NODEs). This initial system of PDEs that transferred to NODEs is solved based on the collocation discretization and tackled through the Euler wavelet truncated representation generated by a set of functions Involving matrix inversion. The scheme presents a meaningful and accurate numerical solution based on the numerical evidences and graphical illustration for several parameters. This confirms the efficiency of the proposed method and can be extended to other types of NODEs.

Keywords

• Stagnation point
• Euler wavelets
• Collocation points
• Numerical approximation
• Nanofluid
• Nonlinear ordinary differential equations