Author

Satyawan L. Dhondge

Department of Mathematics CSMSS Chh. Shahu College of Engineering, Chhatrapati Sambhajinagar, Maharashtra, 431001, India

Published papers: 3
Citations: 0
Views: 316
Downloads: 29

Publications

3 papers

Open Access Research Article·pp. 1–18·Online FirstApr 2026

Study of thermoelasticity mathematical modeling via the Adomian decomposition method

Satyawan L. Dhondge, Vaijanath L. Chinchane, Gajendra R. Gandhe, Manisha B. Sakhare, Sabri T. M. Thabet, Imed Kedim

Published Online: 06 Apr 2026DOI: 10.47974/JIM-2424

In this paper: This paper explores the mathematical modeling of thermoelastic stress in a perfectly clamped metallic rod using the Adomian Decomposition Method (ADM). The study focuses on formulating and solving the...

Abstract References Full Text PDF (745 KB)Views: 69Downloads: 7Citations: 0

Open Access Research Article·pp. 2255–2261·Vol. 28, Issue 6Sep 2025

Numerical stability analysis of nonlinear differential equations in engineering systems

Sandip Kulkarni, Urmila Kadam, Deepak Kumar Paswan, Kumari Shipra, Bhavana Chandramani Julme, Satyawan L. Dhondge

Published Online: 30 Sep 2025DOI: 10.47974/JIM-2367

In this paper: Nonlinear differential equations describe the dynamic behaviours of many engineering systems, from mechanical oscillators with nonlinear springs to electrical circuits containing diodes. The safe and...

Abstract References Full Text PDF (411 KB)Views: 126Downloads: 9Citations: 0

Open Access Research Article·pp. 2263–2271·Vol. 28, Issue 6Sep 2025

Spectral methods for solving partial differential equations in multiphysics simulations

Kanwar Tushar Punj, Trupti Dhanadhya, Tanveer Ahmad Wani, Satish S. Banait, Raminderpreet Pal Singh, Satyawan L. Dhondge

Published Online: 30 Sep 2025DOI: 10.47974/JIM-2368

In this paper: Spectral methods approximate partial differential equations (PDEs) by expressing the solution as a sum of globally defined basis functions. In multiphysics simulations such as coupled fluid flow and h...

Abstract References Full Text PDF (425 KB)Views: 121Downloads: 13Citations: 0