The refinement-schemes-based unified algorithms for certain nth order linear and nonlinear differential equations with a set of constraints

Abstract

Abstract We first present a generalized class of binary interpolating refinement schemes and their properties. Then the refinement-schemes-based unified algorithms for the solution of certain nth order linear and nonlinear differential equations with a set of constraints are presented. Moreover, several algorithms based on the refinement schemes for solving differential equations are the special cases of our algorithms.

Keywords

• Differential equation
• Constraints
• Boundary value problems
• Algorithm
• Refinement schemes
• Interpolation