$Asymptotic solutions of the Helmholtz equation: generalised Friedlander-Keller ray expansions of fractional order$
QR Code

QR Code

Asymptotic solutions of the Helmholtz equation: generalised Friedlander-Keller ray expansions of fractional order

Applications of a WKBJ-type `ray ansatz' to obtain asymptotic solutions of the Helmholtz equation in the high{frequency limit are now standard, and underpin the construction of `geometrical optics' ray diagrams in many electromagnetic, acoustic and elastic reflection, transmission and othe...

Full description

Bibliographic Details
Main Author:	Tew, R.H.
Format:	Article
Published:	Cambridge University Press 2020
Online Access:	https://eprints.nottingham.ac.uk/52013/

Similar Items

Friedlander-Keller ray expansions and scalar wave reflection at canonically-perturbed boundaries
by: Tew, R.H.
Published: (2018)

Asymptotic Expansions of Solutions To The Helmholtz and Maxwell’s Equations Advancements in Ray Theory
by: Radjen, A. M. R.
Published: (2023)

Four Point High Order Compact Iterative Schemes For The Solution Of The Helmholtz Equation
by: Teng, Wai Ping
Published: (2015)

Asymptotic expansions for high-contrast elliptic equations
by: Calo, Victor, et al.
Published: (2014)

QSMSOR Iterative Method for the Solution of 2D Homogeneous Helmholtz Equations
by: Akhir, K., et al.
Published: (2014)

Fractional block method for the solution of fractional order differential equations
by: Noor, N.M., et al.
Published: (2024)

Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions
by: He, J., et al.
Published: (2018)

Wavefronts and Rays As Characteristics and Asymptotics
by: Bóna, Andrej, et al.
Published: (2011)

Asymptotic expansions for high-contrast linear elasticity
by: Poveda, L., et al.
Published: (2016)

Analytical approximate solutions for the Helmholtz-Duffing oscillator
by: Md. Alal, Hosen, et al.
Published: (2015)

Numerical solution of helmholtz equation using a new four point EGMSOR iterative method.
by: Md. Akhir, Mohd Kamarulzaman, et al.
Published: (2011)

Approximate solution of integro-differential equation of fractional (arbitrary) order
by: A. Elbeleze, Asma, et al.
Published: (2016)

Application of optimal homotopy asymptotic method for the approximate solution of riccati equation
by: Fazle Mabood,, et al.
Published: (2013)

Iterative algorithm and estimation of solution for a fractional order differential equation
by: Wu, J., et al.
Published: (2016)

Solutions of linear multi-dimensional fractional order Volterra integral equations
by: Ahmood, Wasan Ajeel, et al.
Published: (2016)

Application of asymptotic expansion homogenization for vascularized poroelastic brain tissue
by: Abbas, Shabudin, et al.
Published: (2018)

Multiscale Petrov-Galerkin method for high-frequency heterogeneous Helmholtz equations
by: Brown, Donald, et al.
Published: (2017)

Half-sweep iterative method for solving two-dimensional Helmholtz equations.
by: Mohd Kamalrulzaman, Md. Akhir, et al.
Published: (2012)

The arithmetic mean iterative method for solving 2D Helmholtz equation
by: Muthuvalu, Mohana Sundaram, et al.
Published: (2014)

Generalisation of close-to-convex of complex order
by: Khalida Inayat Noor,, et al.
Published: (2010)

Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations
by: Zhang, Xinguang, et al.
Published: (2012)

Numerical solution of fractional order delay differential equation via collocation method
by: Muhammad, Bilal, et al.
Published: (2019)

Langevin equation with two fractional orders
by: LIM, S, et al.
Published: (2008)

Half-sweep modified successive overrelaxation for solving two-dimensional Helmholtz equations
by: Md Akhir, Mohd Kamalrulzaman, et al.
Published: (2011)

An experimental study of the modified accelerated overrelaxation (MAOR) scheme on stationary helmholtz equation
by: Nik Mazlan, Nik Amir Syafiq, et al.
Published: (2019)

Positive solutions of higher-order nonlinear fractional differential equations with changing-sign measure
by: Wu, J., et al.
Published: (2012)

On simple iterative fractional order differential equations
by: Damag, Faten Hasan Mohammed, et al.
Published: (2016)

Study on numerical solution of a variable order fractional differential equation based on symmetric algorithm
by: Liu, Jingrui, et al.
Published: (2019)

Asymptotic analysis of a doubly nonlinear diffusion equation
by: King, John R.
Published: (2016)

Asymptotic and numerical analysis of nonlocal reaction-diffusion equations
by: Lee, Jia Yin
Published: (2024)

Asymptotic and boundedness behaviour of a rational difference equation
by: Dilip, Devadanam Suseela, et al.
Published: (2019)

On a low-frequency and refinement stable PMCHWT integral equation leveraging the quasi-Helmholtz projectors
by: Beghein, Yves, et al.
Published: (2017)

Four point explicit decoupled group iterative method applied to two-dimensional Helmholtz Equation.
by: Md Akhir, Mohd Kamalrulzaman, et al.
Published: (2012)

Solutions of Sign-Changing Fractional Differential Equation with the Fractional Derivatives
by: Wu, T., et al.
Published: (2012)

An optimal homotopy asymptotic method for finding solutions of non-linear fractional mathematical models / Okundalaye Oluwaseun Olumide
by: Okundalaye Oluwaseun , Olumide
Published: (2022)

Existence and asymptotic properties of solutions for a nonlinear Schrödinger elliptic equation from geophysical fluid flows
by: Zhang, Xinguang, et al.
Published: (2019)

The generalised isodamping approach for robust fractional PID controllers design
by: Beschi, M., et al.
Published: (2015)

Finite volume method for a Keller-Segel problem
by: Messikh, C, et al.
Published: (2018)

The parallelization of the Keller box method on heterogeneous cluster of workstations
by: Hamzah, Norhafizah, et al.
Published: (2008)

Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
by: Zhang, X., et al.
Published: (2012)