Lidstone–Euler interpolation and related high even order boundary value problem

TENSION TRIGONOMETRIC SPLINES INTERPOLATION METHOD FOR SOLVING A LINEAR BOUNDARY VALUE PROBLEM

By using the trigonometric uniform splines of order 3 with a real tension factor, a numericalmethod is developed for solving a linear second order boundary value problems (2VBP) withDirichlet, Neumann and Cauchy types boundary conditions. The moment at the knots isapproximated by central finite-difference method. The order of convergence of the methodand the theory is illustrated by solving tes...

Positive solutions for a higher order p-Laplacian boundary value problem with even derivatives

In this work, we study the existence and multiplicity of positive solutions for the higher order p-Laplacian boundary value problem with even derivatives { (φp((−1)x)) = f(t, x,−x′′, . . . , (−1)n−2x(2n−4)), αx(2i)(0)− βx(2i+1)(0) = 0, γx(2i)(1) + δx(2i+1)(1) = 0, where t ∈ [0, 1], n ≥ 2, i = 0, 1, . . . , n, α, β, γ, δ ≥ 0 with ρ := αγ + αδ + βγ > 0 and f ∈ C([0, 1] × Rn−1 + ,R+) (R+ := [0,∞))...

Numerical solution for boundary value problem of fractional order with approximate Integral and derivative

Approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. In this paper with central difference approximation and Newton Cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. Three...

Second-Order Boundary Value Problem with Integral Boundary Conditions

A Novel Finite Difference Method of Order Three for the Third Order Boundary Value Problem in ODEs

In this article we have developed third order exact finite difference method for the numerical solution of third order boundary value problems. We constructed our numerical technique without change in structure of the coefficient matrix of the second-order method in cite{Pand}. We have discussed convergence of the proposed method. Numerical experiments on model test problems approves the simply...