Differential and integral equations, in general, have attracted progressively attention in the mathematical, engineering, and scientific communities attributable to their broad applications in modeling biological, engineering, and physical systems of interest in scientific computing and other disciplines. Pure mathematics focuses on the existence and uniqueness of solutions of such equations, while applied mathematics emphasizes the rigorous justification of the methods for approximating solutions.

Because of the computational cost needed to find an exact solution to such models, it is impossible or exceedingly difficult to solve such models analytically. In such a way, the development and implementation of efficient and accurate numerical algorithms for the simulation of solutions to these models continue to be an ambitious task. Studying the convergence, error, and stability analyses of numerical and approximate methods for solving differential equations, integral equations, partial differential equations, fractional differential equations, and integro-differential equations is essential to judge the accuracy of the obtained numerical solutions in the absence of exact analytic solutions.

This Special Issue is mainly focused on addressing some efficient computational methods for accurately handling differential and integral problems. We invite original research and review articles which discuss these topics.

Potential topics include but are not limited to the following:

• Integral and differential equations
• Fractional differential equations
• Partial differential equations
• Time-delay equations
• Deterministic and stochastic dynamics
• Finite difference algorithms
• Finite element algorithms
• Finite volume algorithms
• Boundary value problems
• Initial value problems
• Spectral methods for differential problems