Existence, Uniqueness and Approximate Solution of Self-Adjoint Fourth Order Ordinary Differential Equation With Mixed Boundary Condition

Abstract

We study existence and uniqueness of the generalized solution the self-adjoint fourth order ordinary differential equation in the weighted Sobolev space 𝑊α2(0) and 𝑊α2(𝑏). Numerically part, we developed on Sinc-Galerkin method based single and doable transformation for computing the solution of

convergence analysis is given. comparison of the Sinc-Galerkin exponential and single exploration are carried out. with shows that the Galerkin method based on dabble phonation and more accurate.