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A new polynomial sequence as a guide to numerical solutions for applied-physics-related partial differential equations under Dirichlet-Newman-type exogenous boundary conditions. (English) Zbl 1169.65334

Summary: A new set of polynomials is proposed as a new tool for solving bivaried partial differential equation related with some appropriated applied physics problems. A concrete formulation of canonical expressions, with respect to more common boundary conditions, is yielded out of the recently established Boubaker polynomials.

MSC:

65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35K05 Heat equation
35L05 Wave equation

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