FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2770295067> ?p ?o ?g. }

• W2770295067 abstract "In this paper, we consider the nonlinear doubly singular boundary value problems $(p(x)y'(x))'+ q(x)f(x,y(x))=0,~0<x<1$ with Dirichlet/Neumann boundary conditions at $x=0$ and Robin type boundary conditions at $x=1$. Due to the presence of singularity at $x=0$ as well as discontinuity of $q(x)$ at $x=0$, these problems pose difficulties in obtaining their solutions. In this paper, a new formulation of the singular boundary value problems is presented. To overcome the singular behavior at the origin, with the help of Green's function theory the problem is transformed into an equivalent Fredholm integral equation. Then the optimal homotopy analysis method is applied to solve integral form of problem. The optimal control-convergence parameter involved in the components of the series solution is obtained by minimizing the squared residual error equation. For speed up the calculations, the discrete averaged residual error is used to obtain optimal value of the adjustable parameter $c_0$ to control the convergence of solution. The proposed method textbf{(a)} avoids solving a sequence of transcendental equations for the undetermined coefficients textbf{(b)} it is a general method textbf{(c)} contains a parameter $c_0$ to control the convergence of solution. Convergence analysis and error estimate of the proposed method are discussed. Accuracy, applicability and generality of the present method is examined by solving five singular problems." @default.
• W2770295067 created "2017-12-04" @default.
• W2770295067 creator A5059062853 @default.
• W2770295067 date "2017-11-23" @default.
• W2770295067 modified "2023-09-27" @default.
• W2770295067 title "Analytical method and its convergence analysis based on homotopy analysis for the integral form of doubly singular boundary value problems" @default.
• W2770295067 cites W1965426136 @default.
• W2770295067 cites W1967163129 @default.
• W2770295067 cites W1973676901 @default.
• W2770295067 cites W1976196891 @default.
• W2770295067 cites W1977344101 @default.
• W2770295067 cites W1977677520 @default.
• W2770295067 cites W1982426609 @default.
• W2770295067 cites W1982929698 @default.
• W2770295067 cites W1989385321 @default.
• W2770295067 cites W1994064887 @default.
• W2770295067 cites W1996474089 @default.
• W2770295067 cites W1997858083 @default.
• W2770295067 cites W2003033542 @default.
• W2770295067 cites W2004681716 @default.
• W2770295067 cites W2005695880 @default.
• W2770295067 cites W2006030213 @default.
• W2770295067 cites W2013137589 @default.
• W2770295067 cites W2013256060 @default.
• W2770295067 cites W2020295876 @default.
• W2770295067 cites W2032225945 @default.
• W2770295067 cites W2033864933 @default.
• W2770295067 cites W2042459979 @default.
• W2770295067 cites W2044299439 @default.
• W2770295067 cites W2047806253 @default.
• W2770295067 cites W2054523643 @default.
• W2770295067 cites W2054683747 @default.
• W2770295067 cites W2057771705 @default.
• W2770295067 cites W2059348829 @default.
• W2770295067 cites W2060509999 @default.
• W2770295067 cites W2066459936 @default.
• W2770295067 cites W2068616545 @default.
• W2770295067 cites W2080085213 @default.
• W2770295067 cites W2085608670 @default.
• W2770295067 cites W2094905780 @default.
• W2770295067 cites W2119794696 @default.
• W2770295067 cites W2276969541 @default.
• W2770295067 cites W2622340602 @default.
• W2770295067 cites W3149120027 @default.
• W2770295067 cites W634523187 @default.
• W2770295067 cites W2034002196 @default.
• W2770295067 hasPublicationYear "2017" @default.
• W2770295067 type Work @default.
• W2770295067 sameAs 2770295067 @default.
• W2770295067 citedByCount "0" @default.
• W2770295067 crossrefType "posted-content" @default.
• W2770295067 hasAuthorship W2770295067A5059062853 @default.
• W2770295067 hasConcept C134306372 @default.
• W2770295067 hasConcept C135909967 @default.
• W2770295067 hasConcept C139609574 @default.
• W2770295067 hasConcept C16171025 @default.
• W2770295067 hasConcept C162324750 @default.
• W2770295067 hasConcept C173636693 @default.
• W2770295067 hasConcept C182310444 @default.
• W2770295067 hasConcept C202444582 @default.
• W2770295067 hasConcept C27016315 @default.
• W2770295067 hasConcept C2777303404 @default.
• W2770295067 hasConcept C28826006 @default.
• W2770295067 hasConcept C33923547 @default.
• W2770295067 hasConcept C48753275 @default.
• W2770295067 hasConcept C50522688 @default.
• W2770295067 hasConcept C5961521 @default.
• W2770295067 hasConcept C89285879 @default.
• W2770295067 hasConceptScore W2770295067C134306372 @default.
• W2770295067 hasConceptScore W2770295067C135909967 @default.
• W2770295067 hasConceptScore W2770295067C139609574 @default.
• W2770295067 hasConceptScore W2770295067C16171025 @default.
• W2770295067 hasConceptScore W2770295067C162324750 @default.
• W2770295067 hasConceptScore W2770295067C173636693 @default.
• W2770295067 hasConceptScore W2770295067C182310444 @default.
• W2770295067 hasConceptScore W2770295067C202444582 @default.
• W2770295067 hasConceptScore W2770295067C27016315 @default.
• W2770295067 hasConceptScore W2770295067C2777303404 @default.
• W2770295067 hasConceptScore W2770295067C28826006 @default.
• W2770295067 hasConceptScore W2770295067C33923547 @default.
• W2770295067 hasConceptScore W2770295067C48753275 @default.
• W2770295067 hasConceptScore W2770295067C50522688 @default.
• W2770295067 hasConceptScore W2770295067C5961521 @default.
• W2770295067 hasConceptScore W2770295067C89285879 @default.
• W2770295067 hasLocation W27702950671 @default.
• W2770295067 hasOpenAccess W2770295067 @default.
• W2770295067 hasPrimaryLocation W27702950671 @default.
• W2770295067 hasRelatedWork W12363905 @default.
• W2770295067 hasRelatedWork W145123816 @default.
• W2770295067 hasRelatedWork W1880160617 @default.
• W2770295067 hasRelatedWork W1979212226 @default.
• W2770295067 hasRelatedWork W1985625439 @default.
• W2770295067 hasRelatedWork W2010085634 @default.
• W2770295067 hasRelatedWork W2010391404 @default.
• W2770295067 hasRelatedWork W2027459810 @default.
• W2770295067 hasRelatedWork W2029316177 @default.
• W2770295067 hasRelatedWork W2109282482 @default.
• W2770295067 hasRelatedWork W2385415894 @default.
• W2770295067 hasRelatedWork W2466146694 @default.
• W2770295067 hasRelatedWork W2526575642 @default.

• next