Analytical and Numerical Solutions for Nonlinear Equations (ANSNE) publishes original research articles and critical reviews on the theoretical analysis, numerical treatment, and computational solution of nonlinear equations and systems. The journal serves researchers in applied mathematics, numerical analysis, and scientific computing, with an emphasis on mathematically justified methods and their use in substantive scientific problems.

The journal welcomes contributions in the following interconnected areas:

• Analytical, semi-analytical, and numerical approaches to nonlinear algebraic, differential, integral, integro-differential, difference, and functional equations, including fractional, nonlocal, stochastic, and delay problems.
• Existence, uniqueness, qualitative properties, stability, and asymptotic behaviour of solutions, where the results advance the understanding or treatment of a clearly specified class of nonlinear equations.
• Development and analysis of computational methods, including iterative solvers, discretization methods, and approximation techniques, with contributions to error control, convergence, robustness, computational cost, or preservation of relevant solution properties.
• Inverse problems, parameter identification, optimization, and control when their main contribution concerns the analysis or solution of nonlinear equations or equation-constrained systems.
• Applications in mathematical physics, engineering, biology, and finance that provide substantive analytical or computational insight into the governing nonlinear equations.

Related linear problems and supporting tools from numerical linear algebra or optimization may be considered when their relevance to the journal’s central focus is explicit. Learning-based and hybrid computational approaches are welcome when they address equation-solving or inverse problems and are evaluated against appropriate mathematical, numerical, or computational benchmarks.

The evidence expected depends on the contribution. Theoretical papers should provide precise assumptions and rigorous arguments. Numerical papers should include appropriate analysis and reproducible computational experiments, with relevant comparisons of accuracy, reliability, and computational cost. Application-oriented papers should establish the significance of the mathematical contribution and validate the proposed approach. Review articles should critically synthesize a defined body of work and identify limitations, methodological connections, and open questions.

Routine applications of established techniques, purely formal extensions, and minor algorithmic changes without a substantive mathematical or computational contribution fall outside the journal’s priorities. General studies in statistics, machine learning, graph theory, or decision-making are outside the journal’s scope unless they contain a clear and substantial contribution to the analysis or solution of nonlinear equations.

The journal accepts various article formats, including:

• Original Research Articles.
• Review Articles.