2020
DOI: 10.1002/mma.6228
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Optimal successive complementary expansion for singular differential equations

Abstract: In this article, we consider a singular ordinary differential equation of a two‐point boundary value problem in an asymptotic sense. We discuss the method of successive complementary expansion (SCEM) with asymptotics beyond all orders approach thinking and also scrutinise the solutions that already exist in the literature along with their advantages and drawbacks. In particular, we present an approach using techniques in exponential asymptotics that extends the SCEM for singular differential equations well bey… Show more

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Cited by 1 publication
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“…Among them the asymptotic expansions [15,18], the homotopy perturbation [7], harmonic balance [8,9], energy balance [10] and iteration methods [11] are widely used. Singular differential equations are also solved using optimal successive complementary expansion method by F. Say [17].…”
Section: Introductionmentioning
confidence: 99%
“…Among them the asymptotic expansions [15,18], the homotopy perturbation [7], harmonic balance [8,9], energy balance [10] and iteration methods [11] are widely used. Singular differential equations are also solved using optimal successive complementary expansion method by F. Say [17].…”
Section: Introductionmentioning
confidence: 99%