Numerical solution of non-linear Bratu-type boundary value problems via quintic B-spline collocation method
Ram Kishun Lodhi, Saud Fahad Aldosary, Kottakkaran Sooppy Nisar, Ateq Alsaadi
Abstract
<abstract> <p>This study presents a quintic B-spline collocation method (QBSCM) for finding the numerical solution of non-linear Bratu-type boundary value problems (BVPs). The error analysis of the QBSCM is studied, and it provides fourth-order convergence results. QBSCM is applied on two numerical examples to exhibit the proficiency and order of convergence. Obtain results of the QBSCM are compared with other existing methods available in the literature.</p> </abstract>
Topics & Concepts
MathematicsCollocation (remote sensing)Collocation methodQuintic functionBoundary value problemConvergence (economics)B-splineType (biology)Applied mathematicsOrthogonal collocationMathematical analysisSpline (mechanical)Boundary (topology)Numerical analysisNonlinear systemComputer scienceDifferential equationPhysicsOrdinary differential equationEconomicsBiologyQuantum mechanicsMachine learningThermodynamicsEconomic growthEcologyFractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNonlinear Differential Equations Analysis