TY - JFULL AU - U. C. Amadi and N. A. Udoh PY - 2022/9/ TI - Solution of Two-Point Nonlinear Boundary Problems Using Taylor Series Approximation and the Ying Buzu Shu Algorithm T2 - International Journal of Mathematical and Computational Sciences SP - 67 EP - 73 VL - 16 SN - 1307-6892 UR - https://publications.waset.org/pdf/10012623 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 188, 2022 N2 - One of the major challenges faced in solving initial and boundary problems is how to find approximate solutions with minimal deviation from the exact solution without so much rigor and complications. The Taylor series method provides a simple way of obtaining an infinite series which converges to the exact solution for initial value problems and this method of solution is somewhat limited for a two point boundary problem since the infinite series has to be truncated to include the boundary conditions. In this paper, the Ying Buzu Shu algorithm is used to solve a two point boundary nonlinear diffusion problem for the fourth and sixth order solution and compare their relative error and rate of convergence to the exact solution. ER -