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The exponential function method for solving nonlinear ordinary differential equations with constant coefficients on a semi-infinite domain (2016)
Journal Article
Chadwick, E., Hatam, A., & Kazem, S. (2016). The exponential function method for solving nonlinear ordinary differential equations with constant coefficients on a semi-infinite domain. Proceedings Mathematical Sciences, 126(1), 79-97. https://doi.org/10.1007/s12044-015-0254-3

A new approach, named the Exponential Function Method (EFM) is used to obtain
solutions to nonlinear ordinary differential equations with constant coefficients in a
semi-infinite domain. The form of the solutions of these problems is considered to... Read More about The exponential function method for solving nonlinear ordinary differential equations with constant coefficients on a semi-infinite domain.

Using generating functions to convert an implicit (3,3) finite difference method to an explicit form on diffusion equation with different boundary conditions (2015)
Journal Article
Kazem, S., Chadwick, E., Hatam, A., & Deghan, M. (2015). Using generating functions to convert an implicit (3,3) finite difference method to an explicit form on diffusion equation with different boundary conditions. Numerical Algorithms, 71(4), 827-854. https://doi.org/10.1007/s11075-015-0026-2

In this article, our main goal is to develop an idea to convert an implicit (3,3) Ø-scheme finite difference method to an explicit form for both linear and nonlinear diffusion equations and also for nonlinear advection-diffusion equation with differe... Read More about Using generating functions to convert an implicit (3,3) finite difference method to an explicit form on diffusion equation with different boundary conditions.

Emotional intelligence in STEM (2014)
Journal Article
Singh, M., & Chadwick, E. (2014). Emotional intelligence in STEM. Mathematics today, Dec, 212-214

Using eulerlets to give a boundary integral formulation in euler flow and discussion on applications (2014)
Journal Article
Chadwick, E., & Kapoulas, A. (2014). Using eulerlets to give a boundary integral formulation in euler flow and discussion on applications. https://doi.org/10.3970/cmes.2014.102.331

Boundary element models in inviscid (Euler) flow dynamics for a manoeuvring body are difficult to formulate even for the steady case; Although the potential satisfies the Laplace equation, it has a jump discontinuity in twodimensional flow relating t... Read More about Using eulerlets to give a boundary integral formulation in euler flow and discussion on applications.

Gravitational theoretical development supporting MOND (2013)
Journal Article
Chadwick, E., Hodgkinson, T., & McDonald, G. (2013). Gravitational theoretical development supporting MOND. Physical Review D - Particles, Fields, Gravitation and Cosmology, 88(024036), https://doi.org/10.1103/PhysRevD.88.024036

Conformal geometry is considered within a general relativistic framework. An invariant distant for proper time is defined and a parallel displacement is applied in the distorted space-time, modifying Einstein’s equation appropriately. A particular so... Read More about Gravitational theoretical development supporting MOND.

An extension to thin aerofoil theory obtained by using eulerlets and oseenlets (2013)
Thesis
Kapoulas, A. An extension to thin aerofoil theory obtained by using eulerlets and oseenlets. (Thesis). University of Salford

An extension and theoretical underpinning of thin aerofoil theory is given. To enable
this requires first a novel mathematical representation for a new matched asymptotic
approach. The new matched asymptotic approach is to match near - field Euler... Read More about An extension to thin aerofoil theory obtained by using eulerlets and oseenlets.

A coupled far-field formulation for time-periodic numerical problems in fluid dynamics (2012)
Journal Article
Chadwick, E., & El-Mazuzi, R. (2012). A coupled far-field formulation for time-periodic numerical problems in fluid dynamics. #Journal not on list, 122(4), 661-672. https://doi.org/10.1007/s12044-012-0101-8

Consider uniform flow past an oscillating body generating a time-periodic motion in an exterior domain, modelled by a numerical fluid dynamics solver in the near field around the body. A far-field formulation, based on the Oseen equations, is present... Read More about A coupled far-field formulation for time-periodic numerical problems in fluid dynamics.

On oscillatory oseenlets: the forces generated by them, the far field expansion obtained using them, and their relation to oscillatory stokeslets (2011)
Journal Article
Chadwick, E., & Elmazuzi, R. (2011). On oscillatory oseenlets: the forces generated by them, the far field expansion obtained using them, and their relation to oscillatory stokeslets. #Journal not on list, 9(1),

Consider uniform flow past an oscillating body. Assume that the resulting far-field flow consists of both steady and time periodic components. The time periodic components can be decomposed into a Fourier expansion series of time harmonic components.... Read More about On oscillatory oseenlets: the forces generated by them, the far field expansion obtained using them, and their relation to oscillatory stokeslets.

Experimental verification and computational comparison of an oseen flow slender body theory (2010)
Thesis
Khan, H. Experimental verification and computational comparison of an oseen flow slender body theory. (Thesis). Salford : University of Salford

This project further develops recent work which proposes a new theory that predicts
the forces on slender bodies, and slender and thin wings. A steady, incompressible uniform
field for high Reynolds numbers (although aerodynamically low-speed) is a... Read More about Experimental verification and computational comparison of an oseen flow slender body theory.