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Unified mega algorithm for partial recurrence reynolds solution

Wierzcholski K. Ch.

Journal of Applied Computer Science

2012

Vol. 20, nr 1

81-101

The main scientific topic of the presented paper concerns the method of the determination and calculations of the general and particular numerical solutions of a Reynolds partial recurrence equation with variable coeffcients in curvilinear orthogonal coordinates for curvilinear boundary conditions, and an indication the new applications of the abovementioned solutions in applied and theoretical mechanics. A general space of discrete solution was derived and determined for various orthogonal coordinates. From the mathematical point, the presented method of the solution of modified Reynolds equation leads this problem to resolving the partial recurrence non-homogeneous, linear equation of the second order with variable coeffcients. The formulae and the calculation algorithm derived in this chapter are utilized in numerical calculations.