Efficient Solutions of Multidimensional Sixth-Order Boundary Value Problems Using Symmetric Generalized Jacobi-Galerkin Method by E. H. Doha, W. M. Abd-Elhameed

“…This paper presents some efficient spectral algorithms for solving linear sixth-order two-point boundary value problems in one dimension based on the application of the Galerkin method. …”
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Upper and Lower Solutions Method for a Class of Singular Fractional Boundary Value Problems with p-Laplacian Operator by Jinhua Wang, Hongjun Xiang

“…The upper and lower solutions method is used to study the p-Laplacian fractional boundary value problem D0+γ(ϕp(D0+αu(t)))=f(t,u(t)), 0<t<1, u(0)=0, u(1)=au(ξ), D0+αu(0)=0, and D0+αu(1)=bD0+αu(η), where 1<α,γ⩽2,0⩽a,b⩽1,0<ξ,η<1. …”
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Existence of Concave Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator by Jinhua Wang, Hongjun Xiang, ZhiGang Liu

“…By using fixed point theorem, the results for existence and multiplicity of concave positive solutions to the above boundary value problem are obtained. Finally, an example is given to show the effectiveness of our works.…”
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A Boundary Integral Equation with the Generalized Neumann Kernel for a Certain Class of Mixed Boundary Value Problem by Mohamed M. S. Nasser, Ali H. M. Murid, Samer A. A. Al-Hatemi

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Mixed Boundary Value Problem for a Monotone Equation with a Lower Order Term and Point Sources on the Right Side by O. А. Zadvornov, G. O. Trifonova

Subjects: “…nonlinear boundary value problem…”
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On the Schrödinger-parabolic equation with multipoint nonlocal boundary condition by Yıldırım Özdemir

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Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials by W. M. Abd-Elhameed

“…The main aim of this research article is to develop two new algorithms for handling linear and nonlinear third-order boundary value problems. For this purpose, a novel operational matrix of derivatives of certain nonsymmetric generalized Jacobi polynomials is established. …”
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Multiple Positive Solutions for a Coupled System of p-Laplacian Fractional Order Two-Point Boundary Value Problems by K. R. Prasad, B. M. B. Krushna

“…This paper establishes the existence of at least three positive solutions for a coupled system of p-Laplacian fractional order two-point boundary value problems, D0+β1(ϕp(D0+α1u(t)))=f1(t,u(t),v(t)), t∈(0,1), D0+β2(ϕp(D0+α2v(t)))=f2(t,u(t),v(t)), t∈(0,1), u(0)=D0+q1u(0)=0, γu(1)+δD0+q2u(1)=0, D0+α1u(0)=D0+α1u(1)=0, v(0)=D0+q1v(0)=0, γv(1)+δD0+q2v(1)=0, D0+α2v(0)=D0+α2v(1)=0, by applying five functionals fixed point theorem.…”
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A priori estimate and existence of solutions with symmetric derivatives for a third-order two-point boundary value problem by Sergey Smirnov

Subjects: “…nonlinear boundary value problems…”
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Uniformly Convergent Nonpolynomial Spline Method for Singularly Perturbed Robin-Type Boundary Value Problems with Discontinuous Source Term by Habtamu Garoma Debela, Gemechis File Duressa

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Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order by A. Kazemi Nasab, A. Kılıçman, Z. Pashazadeh Atabakan, S. Abbasbandy

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Corrigendum to “A Three-Point Boundary Value Problem with an Integral Condition for a Third-Order Partial Differential Equation” by C. Latrous, A. Memou

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Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method by Abdon Atangana, Adem Kılıçman

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Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems by Muhammad Asim Khan, Shafiq Ullah, Norhashidah Hj. Mohd Ali

“…The objective of this paper is to obtain an approximate solution for some well-known linear and nonlinear two-point boundary value problems. For this purpose, a semianalytical method known as optimal homotopy asymptotic method (OHAM) is used. …”
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Bifurcation from Interval and Positive Solutions of a Nonlinear Second-Order Dynamic Boundary Value Problem on Time Scales by Hua Luo

“…We give a global description of the branches of positive solutions to the nonlinear boundary value problem of second-order dynamic equation on a time scale 𝕋, uΔΔ(t)+f(t,uσ(t))=0,  t∈[0,T]𝕋,  u(0)=u(σ2(T))=0, which is not necessarily linearizable. …”
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A Numerical Study of Linear Two-Points Boundary Value Problems with ODEs of Fourth-Order Using RKM Method by Mohammed S. Mechee, F. A. Fawzi, Shaymaa Mahmoud Abdullah

Subjects: “…RKM, Ordinary Differential Equations; Boundary Value Problems, Order, DEs, ODEs.…”
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Three-Point Boundary Value Problems of Nonlinear Second-Order q-Difference Equations Involving Different Numbers of q by Thanin Sitthiwirattham, Jessada Tariboon, Sotiris K. Ntouyas

“…We study a new class of three-point boundary value problems of nonlinear second-order q-difference equations. …”
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Multiple Positive Solutions of a Second Order Nonlinear Semipositone m-Point Boundary Value Problem on Time Scales by Chengjun Yuan, Yongming Liu

“…In this paper, we study a general second-order m-point boundary value problem for nonlinear singular dynamic equation on time scales uΔ∇(t)+a(t)uΔ(t)+b(t)u(t)+λq(t)f(t,u(t))=0, t∈(0,1)&#x1D54B;, u(ρ(0))=0, u(σ(1))=∑i=1m-2αiu(ηi). …”
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Solving a Class of Singular Fifth-Order Boundary Value Problems Using Reproducing Kernel Hilbert Space Method by Yulan Wang, Shuai Lu, Fugui Tan, Mingjing Du, Hao Yu

“…We use the reproducing kernel Hilbert space method to solve the fifth-order boundary value problems. The exact solution to the fifth-order boundary value problems is obtained in reproducing kernel space. …”
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An Exponential Spline Difference Scheme for Solving a Class of Boundary Value Problems of Second-Order Ordinary Differential Equations by Dunqian Cao

“…Using these relations, we construct an exponential spline-based difference scheme for solving a class of boundary value problems of second-order ordinary differential equations (ODEs) and analyze the error and the convergence of this method. …”
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