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On the reversion m ethod for the approxim ate solution of non-linear ordinary differential equations

- William Robin
- 1999

In this paper we attempt to revive interest in the reversion method for solving non-linear differential equations by combining the reversion technique with the Cauchy integral method for solving… (More)

- William Robin
- 2010

Many classes of differential equation are shown to be open to solution through a method involving a combination of a direct integration approach with suitably modified Picard iterative procedures.… (More)

- William Robin
- 2007

The theory and application of second-order linear ordinary differential equations is reviewed from the standpoint of the operator factorization approach to the solution of ordinary differential… (More)

- William Robin
- 2014

We present an alternative approach to the discussion of Bessel equations and Bessel functions, through an elementary factorization method. The various Bessel equations are represented by a single… (More)

- William Robin
- 2003

In seeking a generalized Rodrigues' formula solution to second-order linear ordinary differential equations a new Riccati equation is encountered and solved, leading to a novel development of the… (More)

- William Robin
- 1990

Using a two parameter group transformation, the ordinary differential equations describing similarity solutions for the dimensionless stream function and temperature for flow over a flat plate held… (More)

- William Robin
- 2014

The complex integral method for solving ordinary differential equations in series [3, 7, 8] is extended to cover the series solution of partial differential equations also. The means of this… (More)

- William Robin
- 2015

New uniform approximations of the Blasius velocity profile and Blasius function are developed from existing rational approximations of the Blasius velocity profile and of the Blasius function itself.… (More)

- William Robin
- 2002

Use is made of the existing theory of Rodrigues' formula solutions to second-order ordinary differential equations to give a brief account of the properties of relativistic Hermite polynomials.

- William Robin
- 2012

In this paper, we derive general formulae that reproduce well-known instances of recurrence relations for the classical orthogonal polynomials as special cases. These recurrence relations are… (More)