On the Solution and Stability Analysis of 6thorder Bvp by Special Multistep Methods

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Abstract

An effective method of solving a 6th order nonlinear BVP based on the numerical differentiation is presented in this article. The Uniqueness and existence properties of the solution are established. A more accurate and reliable process is derived to know the solution of 6th order BVPs. The procedure is verified on nonlinear problem. The solutions are matched with exact solutions and absolute errors obtained in this method are compared with that of Galerkin method.

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Balarama Krishna, C., Anusha, G., Reddy, R. A., & Chary, K. R. (2020). On the Solution and Stability Analysis of 6thorder Bvp by Special Multistep Methods. In IOP Conference Series: Materials Science and Engineering (Vol. 981). IOP Publishing Ltd. https://doi.org/10.1088/1757-899X/981/2/022090

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