[PDF] Top 20 A higher order method for nonlinear singular two point boundary value problems
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A higher order method for nonlinear singular two point boundary value problems
... For the linear problem, Abu-Zaid and El-Gebeily [1] generalized the method in [3] to w(x) = p(x). Recently, El-Gebeily and Abu-Zaid [7] relaxed this requirement and several other assumptions, however, the ... See full document
13
Solvability for Two Classes of Higher-Order Multi-Point Boundary Value Problems at Resonance
... under nonlinear growth restriction of f. The boundary value problems ...Our method is based upon the coincidence degree theory of Mawhin 13, ... See full document
14
The Existence and Uniqueness of Positive Solutions for a Singular Nonlinear Three Point Boundary Value Problems
... the method of upper and lower solutions is very important for the study of the boundary val- ue problems, see ...the method of upper and lower solutions for three-point boundary ... See full document
21
Existence of Positive Solutions of a Singular Nonlinear Boundary Value Problem
... “Singular boundary-value problems for ordinary second-order di ff erential equations,” Journal of Soviet Mathematics, ...Habets, Two-Point Boundary Value ... See full document
16
Nagumo theorems of third-order singular nonlinear boundary value problems
... For two-point BVPs, Yao and Feng employed the upper and lower solution method to prove the existence of solutions for a kind of third-order non- linear differential equations ... See full document
11
Existence and Uniqueness of Positive Solutions for Fourth Order Nonlinear Singular Sturm Liouville Problems
... fixed point theorem of a mixed monotone operator, we study boundary value problems to non- linear singular fourth-order differential equations, and provide sufficient conditions ... See full document
8
Two-point boundary value problems for higher-order linear differential equations with strong singularities
... Remark 1.13. The above-given conditions on the unique solvability of problems (1.1), (1.2) and (1.1), (1.3) are optimal since, as Example 1.8 shows, in Theorems 1.9, 1.11 and Corollaries 1.10, 1.12 none of strict ... See full document
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Iterative unique positive solutions for a new class of nonlinear singular higher order fractional differential equations with mixed type boundary value conditions
... the nonlinear terms and boundary conditions, and the nonlinear terms are allowed to be singular in regard to not only time variable but also space ...fixed point theorem of mixed ... See full document
26
Higher order multi-point fractional boundary value problems with integral boundary conditions
... In this article, existence results of at least one positive solution of (1.1) are first established as a result of the theory of fixed point index. Second, we apply the Avery–Henderson fixed–point theorem ... See full document
14
An O(k2+kh2+h2) Accurate Two level Implicit Cubic Spline Method for One Space Dimensional Quasi linear Parabolic Equations
... linear two point boundary value problems has been dis- cussed by Bickley [1], Fyfe [2], Albasiny and Hoskins [3] and Rubin and Khosla ...fourth order accurate cubic spline ... See full document
7
Spline solutions for nonlinear two point boundary value problems
... In this paper we shall present some methods for the continuous approximation of the solution of the two point real nonlinear boundary value problem.. by the use of spline functions of or[r] ... See full document
17
On the Solvability of Discrete Nonlinear Two Point Boundary Value Problems
... the boundary conditions are ...in order to get, by using minimization methods, existence of a unique weak solution which is also a classical solution since the Hilbert space associated is of finite ... See full document
17
New Implementation of Reproducing Kernel Method for Solving Functional Differential Equations
... 2009 Solving Singular Second Order Three-Point Boundary Value Problems Using Reproducing Kernel Hilbert Space Method.. 2012 A Numerical Solution to Nonlinear Second Order Three-Point Bou[r] ... See full document
8
Positive solutions for singular coupled integral boundary value problems of nonlinear higher order fractional q difference equations
... of nonlinear fractional q-difference ...coupled boundary value problems and the results mentioned above, we consider the existence and uniqueness of positive solutions for the following ... See full document
22
Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms
... on singular boundary value problems, ...of boundary value problems, the reader is referred to the monographs [, ] and the hundreds of references cited ...the ... See full document
22
Chebyshev finite difference method for a two−point boundary value problems with applications to chemical reactor theory
... difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear differential ...This ... See full document
7
Existence of positive solutions for fourth-order semipositone multi-point boundary value problems with a sign-changing nonlinear term
... fixed point index theory in cone and constructing some available integral operators together with approximating ...for nonlinear fourth-order semipositone multi-point boundary ... See full document
16
Singular boundary value problems for quasi differential equations
... Singular nonlinear boundary value problems for higher order ordinary differential equations, Nonlin.. Singular boundary value problems, Bull.[r] ... See full document
8
A Galerkin method of O(h2) for singular boundary value problems
... a nonlinear case was considered in ...its order of convergence and to obtain the optimal order of convergence h 2 under an easily checked condition on ... See full document
9
Terminal value problem for singular ordinary differential equations: Theoretical analysis and numerical simulations of ground states
... the point r = 0 is a regular singularity for the equation in ...initial value problem has a unique solution, which is a holomorphic function at the point r = 0, that ... See full document
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