ACCURATE BENCHMARK RESULTS OF BLASIUS BOUNDARY LAYER PROBLEM USING A LEAPING TAYLOR’S SERIES THAT CONVERGES FOR ALL REAL VALUES

Blasius boundary layer solution is a Maclaurin series expansion of the function \(f(\eta)\), which has convergence problems when evaluating for higher values \(\eta\) due to singularity present at \(\eta\approx-5.69\). In this paper we are introducing an accurate \(f(\eta)\) using Taylor's expansions with progressively shifted centers expansion(Leaping centers). Each solved as IVP three initial computed from previous series, so gap between two consecutive selected within disc first series. The last formed such that it convergent reasonable high value needed implementing condition infinity. methodology uses Newton-Raphson method compute unknown viz. \(f''(0)\) in iterative manner. Benchmark results different parameters flat plate no slip and conditions have been reported paper.