On the solution of a class of the reduced wave equation and the Riccati differential equation

DOI10.1016/J.AMC.2010.03.008zbMath1202.34010OpenAlexW1988868011WikidataQ115361679 ScholiaQ115361679MaRDI QIDQ972904

Adil Misir

Publication date: 21 May 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.008

zbMATH Keywords

Helmholtz equationRiccati differential equationacoustic scattering problem

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Asymptotic iteration technique for second-order dynamic equations on time scales

Cites Work

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• Solution of 3D-Laplace and Helmholtz equations in exterior domains using \(hp\)-infinite elements
• Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods
• Criterion for polynomial solutions to a class of linear differential equations of second order
• Elementary source-type solutions of the reduced wave equation
• 8.—Constructive Methods for Solving the Exterior Neumann Problem for the Reduced Wave Equation in a Spherically Symmetric Medium
• Sturm-Liouville solutions of the wave equation
• Asymptotic iteration method for eigenvalue problems
• Theory of Propagation of Sound in a Half-Space of Variable Sound Velocity under Conditions of Formation of a Shadow Zone
• Inverse acoustic and electromagnetic scattering theory

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