Aims & Focus

The International Journal of Pure, Applied and Computational Mathematics (IJPACM) aims to promote high-quality scholarly research, mathematical innovation, and intellectual engagement in the fields of pure mathematics, applied mathematics, computational mathematics, and related interdisciplinary areas. The journal seeks to provide an inclusive international platform for researchers, academicians, mathematicians, scientists, educators, and industry professionals to disseminate original research, theoretical developments, computational methodologies, and innovative studies that contribute to the advancement of mathematical sciences, scientific computing, analytical techniques, and technological progress.

The primary aims and objectives of the journal are:

To publish original, innovative, and impactful research in the fields of pure mathematics, applied mathematics, computational mathematics, and interdisciplinary mathematical sciences.
To encourage theoretical, analytical, numerical, and computational research addressing contemporary mathematical challenges and scientific advancements at national and international levels.
To promote mathematical thinking, scientific inquiry, academic dialogue, and evidence-based discussions on emerging developments in algebra, analysis, topology, geometry, differential equations, numerical analysis, statistics, optimization, and mathematical modeling.
To support the advancement of knowledge related to scientific computing, data analytics, artificial intelligence, machine learning applications, computational algorithms, and modern mathematical technologies.
To provide a credible international forum for scholars, researchers, mathematicians, scientists, educators, and industry professionals from diverse academic and technological backgrounds.
To maintain the highest standards of academic integrity, transparency, and ethical publishing through a rigorous double-blind peer-review process.
To encourage research that integrates mathematical theory with practical applications in science, engineering, economics, finance, computer science, environmental studies, and industrial innovation.
To facilitate international academic collaboration and the global dissemination of mathematical research for the advancement of pure, applied, and computational mathematics.
To promote research on emerging themes such as fractional calculus, computational intelligence, mathematical simulation, cryptography, operations research, fuzzy systems, mathematical biology, data science, and interdisciplinary computational innovation.
To foster intellectual exchange and interdisciplinary understanding that strengthens the role of mathematics in addressing global scientific, technological, industrial, and societal challenges.
To encourage the development of advanced numerical methods, optimization techniques, and computational frameworks for solving complex real-world problems.
To support innovative research that bridges classical mathematical theory with modern computational and data-driven approaches for scientific and technological advancement.

Focus Areas and Scope

The International Journal of Pure, Applied and Computational Mathematics (IJPACM) is dedicated to publishing high-quality, original, and impactful research in the broad domains of pure mathematics, applied mathematics, computational mathematics, and interdisciplinary mathematical sciences. The journal aims to provide an international platform for researchers, academicians, mathematicians, scientists, engineers, educators, statisticians, data scientists, and industry professionals to share innovative theoretical, analytical, numerical, and computational research that advances mathematical understanding, scientific innovation, and technological development.

The journal welcomes contributions in both fundamental and application-oriented mathematics, with a strong emphasis on emerging computational techniques, interdisciplinary innovation, mathematical modeling, scientific computing, and real-world applications of mathematics in science, engineering, economics, finance, artificial intelligence, and technology. IJPACM encourages scholarly works that contribute to mathematical advancement, industrial development, computational efficiency, scientific discovery, and the integration of modern mathematical methodologies into interdisciplinary research.

The scope of the journal includes, but is not limited to, the following areas:

Pure Mathematics

Algebra and Number Theory

Abstract Algebra
Linear Algebra
Group Theory
Ring and Field Theory
Module Theory
Algebraic Structures
Number Theory
Algebraic Number Theory
Commutative Algebra
Representation Theory

Mathematical Analysis

Real Analysis
Complex Analysis
Functional Analysis
Harmonic Analysis
Measure Theory
Operator Theory
Approximation Theory
Nonlinear Analysis

Geometry and Topology

Differential Geometry
Algebraic Geometry
Euclidean and Non-Euclidean Geometry
Topology and Algebraic Topology
Geometric Analysis
Computational Geometry

Discrete Mathematics

Graph Theory
Combinatorics
Set Theory
Logic and Foundations of Mathematics
Coding Theory
Discrete Structures and Algorithms

Applied Mathematics

Differential Equations and Dynamical Systems

Ordinary Differential Equations (ODEs)
Partial Differential Equations (PDEs)
Fractional Differential Equations
Integral Equations
Delay Differential Equations
Dynamical Systems and Chaos Theory
Stability Analysis and Control Theory

Mathematical Modeling

Mathematical Biology
Epidemiological Modeling
Environmental and Climate Modeling
Population Dynamics
Financial and Economic Modeling
Industrial and Engineering Modeling
Physical and Chemical Process Modeling

Optimization and Operations Research

Linear and Nonlinear Optimization
Convex Optimization
Multi-objective Optimization
Operations Research
Game Theory
Decision Theory
Supply Chain and Logistics Modeling

Probability and Statistics

Probability Theory
Mathematical Statistics
Bayesian Statistics
Stochastic Processes
Time Series Analysis
Statistical Inference
Applied Statistics and Data Analysis

Computational Mathematics

Numerical and Scientific Computing

Numerical Analysis
Numerical Linear Algebra
Finite Difference Methods
Finite Element Methods
Spectral Methods
Computational Fluid Dynamics
High-Performance Computing
Scientific Simulation and Modeling

Computational Intelligence and Data Science

Artificial Intelligence in Mathematics
Machine Learning Algorithms
Neural Networks and Deep Learning
Computational Intelligence
Mathematical Data Science
Pattern Recognition
Predictive Modeling

Computational and Applied Algorithms

Computational Algorithms
Symbolic Computation
Parallel and Distributed Computing
Numerical Optimization Algorithms
Computational Complexity
Algorithmic Mathematics

Cryptography and Information Security

Mathematical Cryptography
Blockchain Mathematics
Coding and Information Theory
Cybersecurity Algorithms
Encryption and Secure Computation

Interdisciplinary and Emerging Areas

Fractional Calculus and Applications
Fuzzy Mathematics and Soft Computing
Computational Physics and Engineering Mathematics
Mathematical Finance and Actuarial Science
Bioinformatics and Computational Biology
Quantum Computing and Quantum Mathematics
Smart Systems and Computational Technologies
Internet of Things (IoT) Modeling
Big Data Analytics and Mathematical Methods
Mathematical Approaches in Artificial Intelligence
Sustainable Development Modeling
Energy Systems and Renewable Energy Mathematics

The International Journal of Pure, Applied and Computational Mathematics (IJPACM) is committed to maintaining the highest standards of publication ethics, academic integrity, and scholarly excellence through a rigorous double-blind peer-review process. By fostering global academic collaboration, mathematical innovation, and interdisciplinary scientific exchange, the journal aspires to become a distinguished international forum for advancing mathematical sciences and computational research worldwide.