مشخصات پژوهش

Although eighth-order boundary value problems have many applications in domains like elasticity, fluid dynamics, and quantum mechanics, they are still difficult to study because there are few analytical solutions and conventional numerical approaches frequently have instability, poor convergence, and high computational costs. To get around these restrictions, a new Sinc-collocation technique must be created because Sinc functions provide exponential convergence, stability, and the capacity to deal with singularities or unbounded domains more skillfully than traditional methods. This study is significant because it advances theoretical knowledge and practical modeling in the applied sciences and engineering by offering a dependable, accurate, and computationally efficient framework for resolving challenging high-order problems.