... behaviour of a spherical cloud and of the gravitational potential of a polytropic fluid at hydrostatic equilibrium. Design/methodology/approach In their work, the authors first review Emden's equation and its possible solutions using the Frobenius and power series methods; then, Adomian polynomials...

... criterion. The approach utilizes piece‐wise linear approximations utilizing linear Langrange polynomials. Numerical experiments indicate that local errors are large in regions where the gradients are large. Findings A comparison of the spatially adaptive grid refinement with that of uniform meshing...

...Talaat S. El Danaf; Faisal E.I. Abdel Alaal Purpose The purpose of this paper is to propose a non‐polynomial spline‐based method to obtain numerical solutions of a dissipative wave equation. Applying the Von Neumann stability analysis, the developed method is shown to be conditionally stable...

...Kamil Kahveci Purpose This paper seeks to investigate the effect of a heat conducting vertical partition in an enclosure on natural convection heat transfer and fluid flow using the polynomial‐based differential quadrature (PDQ) method. Design/methodology/approach The PDQ method with the non...

... equations in two dimensions structured by the Hardy's multiquadrics with different shape parameter and different order of polynomial augmentation. The solution is formulated in primitive variables and involves iterative treatment of coupled pressure, velocity, pressure correction, velocity correction...