[PDF] Top 20 Numerical Solutions of a Class of Second Order Boundary Value Problems on Using Bernoulli Polynomials

... the numerical solutions of the second order linear and nonlinear differential equations with Dirichlet, Neumann and Robin boundary ...the Bernoulli polynomials as linear ... See full document

... s ≥ for all r Î [a, b] and s ≠ 0. In the celebrated study [4], Rabinowitz established Rabinowitz’s global bifurcation theory [[4], Theorems 1.27 and 1.40]. However, as pointed out by Dancer [5,6] and López-Gómez [7], the ... See full document

... This problem is recently studied in 11. Also, this problem is generalized in 12–14. Several much more general forms of the problem have been studied in 15–17 via lower and upper solution method. We will study the ... See full document

... A class of second-order three-point integral boundary value problems at resonance is investigated in this ...paper. Using intermediate value theorems, we obtain a ... See full document

... positive solutions for a class of singular second-order differential equations with periodic boundary ...By using the fixed point theory in cones, the explicit range for λ is ... See full document

... approximate solutions of second-order linear differential equations with fuzzy boundary conditions, in which coefficient functions maintain the sign, are ...linear boundary value ... See full document

... Superlinear problems with classical boundary value conditions have been considered in many papers, particularly in the second and fourth order cases, with either periodic or separated ... See full document

... reasonable numerical solution for µ = ...common numerical methods fail to provide enough accurate solutions for large values of ...the numerical solution obtained by the Scheme 2 with N = 300, ... See full document

... Chebyshev polynomials for Caputo fractional derivative is applied to solve boundary value problems of the non-local Caputo frac- tional integro-differential static beam ...finding ... See full document

... a second order linear boundary value problem, by the technique of Galerkin ...formulation using Hermite polynomials as trial ...several numerical examples of second ... See full document

... one class of hyperbolic systems of second order, we consider multidimensional ver- sions of the Darboux problem in conic ...of solutions of these problems are ...Darboux problems ... See full document

... integral boundary value problems of ordinary differential equations arise in dif- ferent areas of applied mathematics and physics such as heat conduction, underground water flow, thermo-elasticity and ... See full document

... regarding solutions to boundary value problems for systems of second-order discrete ...certain class of right-hand sides, we present some lemmas showing that all ... See full document

... and multiplicity of positive solutions under Dirichlet boundary value condition. In 2006, Afrouzi and Brown [3] also obtained the similar results by using the mountain pass theorem. When f is ... See full document

... positive solutions for the nonhomogeneous boundary value problem- s have been studied by some authors, see ...positive solutions of three-point nonhomo- geneous boundary value ... See full document

... positive solutions for a class of third-order three-point boundary value ...three-point boundary value problem has at least three positive solutions are ... See full document

... In Section , we introduce two lemmas which will be used in later sections. In Section , the linear problem will be discussed by the theory of ordinary differential equation, thus the uniqueness of solutions of ... See full document

... of boundary value problems, including the periodic problem, Neumann problem, and Sturm–Liouville prob- lem, for which we derive the existence of a solution by applying the existence result for some ... See full document

... Hindawi Publishing Corporation Advances in Difference Equations Volume 2009, Article ID 671625, 15 pages doi 10 1155/2009/671625 Research Article A Global Description of the Positive Solutions of Subl[.] ... See full document

... Nth order BVPs using ...offers numerical stimulation of the method on some selected thirteen-order, twelve-order and ten-order boundary value ... See full document