Effective Boundary Value Problem Solver via Bézier Functions

In engineering disciplines, many important problems are to be formed as boundary value (BVPs) that have conditions specified at the extremes. To handle such problems, conventional shooting method transforms BVPs into initial has been extensively used, but it does not always guarantee solving problem due possible failure of finding a proper guess. This paper proposes universal guess finder is composed Bézier functions. Various dimensional include Lambert’s for several orbits around spherically symmetric Earth studied validate efficacy proposed approach, and results compared.