Rishikant AgnihotriAuthor Profile
Professor, Department of Mathematics, Kalinga University, Raipur, Chhattisgarh, India
Publications by Rishikant Agnihotri
Graph-Theoretic Approaches for Optimizing Communication Networks: A Study of Shortest Path and Minimum Spanning Tree Algorithms
The exponential growth of digital communication systems has increased the complexity of network infrastructures across telecommunications, internet services, transportation systems, cloud computing environments, and wireless sensor networks. Efficient management and optimization of these networks have become critica...
View ArticleGraph-Theoretic Approaches for Optimizing Communication Networks: A Study of Shortest Path and Minimum Spanning Tree Algorithms
The exponential growth of digital communication systems has increased the complexity of network infrastructures across telecommunications, internet services, transportation systems, cloud computing environments, and wireless sensor networks. Efficient management and optimization of these networks have become critica...
View ArticleAccuracy and Discrete Energy Behaviour of L1 and L2-1? Time-Stepping Schemes for Caputo Fractional Diffusion Equations
Time-fractional diffusion equations combine a nonlocal memory operator with diffusion and therefore require time-stepping methods that are accurate without losing the qualitative stability of the underlying problem. This paper provides a controlled computational comparison of the classical L1 formula and the second-...
View ArticleStability, Convergence and Error Analysis of An Adaptive Modified Euler Method for Nonlinear Ordinary Differential Equations
This paper examines the consistency, convergence, error propagation and absolute stability of a step-doubling adaptive modified Euler method for nonlinear initial value problems. The underlying Heun update has a second-order Taylor expansion and a cubic local defect. Two half steps retain second-order global converg...
View ArticleAccuracy and Discrete Energy Behaviour of L1 and L2-1? Time-Stepping Schemes for Caputo Fractional Diffusion Equations
Time-fractional diffusion equations combine a nonlocal memory operator with diffusion and therefore require time-stepping methods that are accurate without losing the qualitative stability of the underlying problem. This paper provides a controlled computational comparison of the classical L1 formula and the second-...
View ArticleResearch Topics
- Caputo derivative
- fractional diffusion equation
- L1 scheme
- L2-1σ scheme
- energy stability
- time stepping
- error analysis
- Graph Theory
- Communication Networks
- Network Optimization
- Shortest Path Algorithms
- Dijkstra Algorithm
- Bellman-Ford Algorithm
- Minimum Spanning Tree
- Prim Algorithm
- Kruskal Algorithm
- Network Routing
- Telecommunications
- Network Design
- Absolute stability