Boundary value problems for nonlinear partial differential equations form a cornerstone of modern mathematical analysis, bridging theoretical advancements and practical real-world applications. These ...

Applicable Analysis and Discrete Mathematics, Vol. 1, No. 1, SPECIAL ISSUE: Papers presented at the conference Topics in Mathematical Analysis and Graph Theory Belgrade, Serbia, September 1-4, 2006.

This paper presents a new approach to spectral methods for initial boundary value problems. A filtered version of the partial differential equation and the initial and boundary conditions at an ...

Elliptic equations represent a fundamental class of partial differential equations that arise in numerous models of steady-state processes, ranging from heat conduction to elasticity. Their study ...