On multiple solutions for a fourth order nonlinear singular boundary value problems arising in epitaxial growth theory
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7119
Abstract: In this article, we consider the fourth order non‐self‐adjoint singular boundary value problem 1rr1rrϕ′′′′=ϕ′ϕ″r+λ, with λ as a parameter measures the speed at which new particles are deposited. This differential equation is non‐self‐adjoint, so finding… read more here.
Keywords: boundary value; fourth order; value; singular boundary ... See more keywords
A new mixed MADM-Collocation approach for solving a class of Lane–Emden singular boundary value problems
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DOI: 10.1007/s10910-018-00995-x
Abstract: In this paper, a new approach is proposed for solving a class of singular boundary value problems of Lane–Emden type. It is well known that the Adomian decomposition method (ADM) fails to provide a convergent… read more here.
Keywords: singular boundary; collocation; method; value ... See more keywords
Variable Mesh Polynomial Spline Discretization for Solving Higher Order Nonlinear Singular Boundary Value Problems
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DOI: 10.1007/s12591-020-00515-x
Abstract: In this paper, two generalized variable mesh finite difference schemes based on cubic spline has been developed to solve the system of nonlinear singular boundary value problems. The suggested methods are pertinent to singular boundary… read more here.
Keywords: nonlinear singular; singular boundary; variable mesh; boundary value ... See more keywords
Regularized singular boundary method for 3D potential flow
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DOI: 10.1016/j.enganabound.2018.06.022
Abstract: Abstract The boundary integral methods form one group of methods for solving differential equations. The boundary element method (BEM) is the basic method of this group. However, it requires the creation of a network of… read more here.
Keywords: boundary method; singular boundary; method; method potential ... See more keywords
A regularized approach evaluating origin intensity factor of singular boundary method for Helmholtz equation with high wavenumbers
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DOI: 10.1016/j.enganabound.2019.01.008
Abstract: Abstract Evaluation of the origin intensity factor of the singular boundary method for Helmholtz equation with high wavenumbers has been a difficult task for a long time. In this study, a regularized approach is provided… read more here.
Keywords: regularized approach; method; helmholtz equation; boundary method ... See more keywords
Simulation of two-dimensional steady-state heat conduction problems by a fast singular boundary method
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DOI: 10.1016/j.enganabound.2019.06.020
Abstract: Abstract The study presents a fast direct algorithm for solutions of systems arising from singular boundary method (SBM) in two-dimensional (2D) steady-state heat conduction problems. As a strong-form boundary discretization collocation technique, the SBM is… read more here.
Keywords: heat conduction; boundary method; conduction problems; singular boundary ... See more keywords
A meshless singular boundary method for elastic wave propagation in 2D partially saturated poroelastic media
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DOI: 10.1016/j.enganabound.2019.12.019
Abstract: Abstract This paper presents a boundary meshless method, singular boundary method (SBM), in conjunction with the exponential window method (EWM) to simulate the dynamic response of the 2D partially saturated poroelastic media. The problem is… read more here.
Keywords: saturated poroelastic; poroelastic media; boundary method; singular boundary ... See more keywords
Numerical Solution for Singular Boundary Value Problems Using a Pair of Hybrid Nyström Techniques
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DOI: 10.3390/axioms10030202
Abstract: This manuscript presents an efficient pair of hybrid Nyström techniques to solve second-order Lane–Emden singular boundary value problems directly. One of the proposed strategies uses three off-step points. The obtained formulas are paired with an… read more here.
Keywords: singular boundary; boundary value; nystr techniques; hybrid nystr ... See more keywords