The Asymptotic Solution of a Class of Third-Order Boundary Value Problems Arising in the Theory of Thin Film Flows
From MaRDI portal
Publication:3315213
DOI10.1137/0143065zbMath0532.76042OpenAlexW2009343422MaRDI QIDQ3315213
Publication date: 1983
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0143065
Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10)
Related Items
The existence, uniqueness and asymptotic estimates of solutions for third-order full nonlinear singularly perturbed vector boundary value problems ⋮ On sinc discretization and banded preconditioning for linear third-order ordinary differential equations ⋮ Chebyshev differential quadrature for numerical solutions of third- and fourth-order singular perturbation problems ⋮ An asymptotic numerical method for singularly perturbed third-order ordinary differential equations with a weak interior layer ⋮ A rational spectral collocation method for third-order singularly perturbed problems ⋮ A new tension B-spline method for third-order self-adjoint singularly perturbed boundary value problems ⋮ Singularly perturbed third-order boundary value problem for nonlinear systems ⋮ Asymptotic Analysis and a Uniformly Convergent Numerical Method for Singular Perturbation Problems ⋮ Singular perturbations of boundary value problems for a class of third order nonlinear ordinary differential equations ⋮ Boundary Value Technique for Finding Numerical Solution to Boundary Value Problems for Third Order Singularly Perturbed Ordinary Differential Equations ⋮ A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem ⋮ Asymptotic numerical methods for singularly perturbed fourth-order ordinary differential equations of reaction-diffusion type ⋮ Numerical investigation of a third-order ODE from thin film flow ⋮ A nonlinear eigenvalue problem from thin-film flow ⋮ Uniformly convergent finite difference method for reaction-diffusion type third order singularly perturbed delay differential equation ⋮ Singular perturbations for third order nonlinear boundary value problems ⋮ Uniformly convergent scheme for fourth-order singularly perturbed convection-diffusion ODE ⋮ Local discontinuous Galerkin method on graded meshes for a third‐order singularly perturbed problem ⋮ Local discontinuous Galerkin method for a third-order singularly perturbed problem of convection-diffusion type ⋮ Local discontinuous Galerkin method for a third‐order singularly perturbed problem of reaction–diffusion type ⋮ Comparative study on order-reduced methods for linear third-order ordinary differential equations ⋮ Computational methods for reaction--diffusion problems for fourth order ordinary differential equations with a small parameter at the highest derivative. ⋮ An asymptotic numerical method for singularly perturbed third-order ordinary differential equations of convection-diffusion type. ⋮ On the determination of the steady film profile for a non-Newtonian thin droplet ⋮ An investigation of an Emden-Fowler equation from thin film flow ⋮ Block-triangular preconditioning methods for linear third-order ordinary differential equations based on reduced-order sinc discretizations ⋮ NEW EXISTING RESULTS FOR A SYSTEM OF NONLINEAR THIRD-ORDER DIFFERENTIAL EQUATION VIA FIXED POINT INDEX ⋮ Uniformly convergent difference schemes for a singularly perturbed third order boundary value problem ⋮ Differentiability and its asymptotic analysis for nonlinear singularly perturbed boundary value problem ⋮ A class of fourth order nonlinear boundary value problem with singular perturbation ⋮ A computational method for solving third-order singularly perturbed boundary-value problems ⋮ Nearly discontinuous solutions of a class of nonlinear boundary value problems ⋮ A boundary value technique for boundary value problems for singularly perturbed fourth-order ordinary differential equations ⋮ Eigenvalue for a singular third-order three-point boundary value problem ⋮ The existence and asymptotic estimates of solutions for a third-order nonlinear singularly perturbed boundary value problem ⋮ Application of the mixed monotone operator to a nonlinear third-order boundary value problem ⋮ On order-reducible sinc discretizations and block-diagonal preconditioning methods for linear third-order ordinary differential equations ⋮ Singular perturbations for third-order nonlinear multi-point boundary value problem ⋮ Fitted numerical method with linear interpolation for third-order singularly perturbed delay problems ⋮ A numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations ⋮ A computational method are solving boundary value problems for third-order singularly perturbed ordinary differential equations ⋮ An asymptotic numerical fitted mesh method for singularly perturbed third order ordinary differential equations of reaction-diffusion type ⋮ Asymptotic numerical methods for singularly perturbed fourth order ordinary differential equations of convection-diffusion type ⋮ A nonlinear stability theory for a third-order evolution equation ⋮ Asymptotic structures in nonlinear dissipative and dispersive systems