Integral formulations for 1-D Biharmonic and Second Order Coupled Linear and Nonlinear Boundary Value Problems

• Main Author: Okey Oseloka Onyejekwe (Author)
• Format: Book
• Published: Annals of Mathematics and Physics - Peertechz Publications, 2018-10-29.
• Subjects: Research Article
• Online Access: Connect to this object online.

<p>Integral formulations based on a boundary-domain interpretation of the boundary element method</p><p>(BEM) are applied to develop the numerical solutions of biharmonic and second order coupled linear and</p><p>nonlinear boundary value problems. The governing multiple differential equations are converted to their</p><p>integral analogs by applying the Green's identity or by double integration. The resulting integral equations</p><p>are put in matrix form and solved numerically to yield both the primary dependent variable and its spatial</p><p>derivative. Available benchmark solutions are applied to test the reliability of the formulation. The results</p><p>are found to be in conformity with the closed form solutions and also accurately represent the physics</p><p>which the problems represent.</p>