F. L. Joseph

An Orthogonal-Based Block Hybrid Method for the Solution of Third Order Ordinary Differential Equations

An orthogonal polynomial of the weight function w(x) = x 2+x+1 in the interval [-1, 1] was created as the basis function in block methods using the collocation and interpolation methodology. For third-order problems, an efficient class of continuous and discrete numerical integration techniques of implicit hybrid form were devised and effectively i...