Technical Terms Fourth-Order Elliptic Equation: A differential equation that involves derivatives up to the fourth order, typically modelling phenomena with higher resistance to deformation.

The fourth-order equation can be transformed into a first-order ordinary differential system, and then, the classical Padé approximation is used to discretize spatial derivative in the nonlinear ...

Mathematics of Computation, Vol. 31, No. 140 (Oct., 1977), pp. 881-891 (11 pages) Amongst satisfactory techniques for the numerical solution of differential equations, the use of Chebyshev series is ...