Abstract A numerically efficient, semi‐analytical solution of the Reynolds equation for hydrodynamic journal bearings is developed based on Scaled Boundary Finite Element Method. The pressure field discretized along circumferential coordinate lubrication gap, while an analytical formulation used in axial direction. system inhomogeneous ordinary differential equations obtained, which solved unde...

Benchmarking is essential for testing new numerical analysis codes. Their solution crucial both the partial differential equation solvers and optimization methods. Especially, nature-inspired algorithm-based solvers, where an important study to use benchmark functions test how algorithm may perform, in comparison with other algorithms or fine-tune optimizer parameters. This paper proposes a nov...

Original scientific paper This paper presents semi-analytical solution for the problem of elastic impact of two beams. The solution is based on the finite element discretization of the structure and equation of motion solution using diagonalization method for solving a system of differential equations. This procedure avoids temporal discretization typical for numerical methods, and in this way ...

This note is concerned with a semi-analytical method for the solution of 2-D Helmholtz equation in unit square. The method uses orthogonal functions to project the problem down to finite dimensional space. After the projection, the problem simplifies to that of obtaining solutions for second order constant coefficient differential equations which can be done analytically. Numerical results indi...

A semi-analytical solution for the simulation of one-dimensional subsurface solute transport incorporating multiple nonequilibrium processes is presented. The solution is based on the theory Ž . w developed by Brusseau et al. 1992 Brusseau, M.L., Jessup, R.E., Rao, P.S.C., 1992. Modeling solute transport influenced by multiprocess nonequilibrium and transformation reactions. Water Ž . x Resourc...