Dr. Kailash Yadav
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Academic Career Length
5Years (2022-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications30 October 2023 in European Journal of Pure and Applied Mathematics
Journal Article
Kailash YadavAAAteq Alsaadi
Ateq Alsaadi
The main objective of this article is to discuss a numerical method for solving singular differential equations based on wavelets. Singular differential equations are first transformed into a system of linear algebraic equations, and then the linear system’s solution produces the unknown coefficients. Along with its estimated error, the convergence of the approximative solution is alsodetermined. Some numerical examples are thought to show that Bernoulli wavelet is better than Chebyshev and Legendre wavelet and other existing techniques.
1 January 2024 in AIP Conference Proceedings
Conference Paper
KSK. Sasikala
K. Sasikala
DPD Piriadarshani
D PiriadarshaniKailash YadavBJBeena James
Beena JamesThis study analyses PDA feedback, or delayed proportional derivative acceleration using a human balancing nonlinear model by applying Laplace Transform. The PDA This study analyses PDA feedback, or delayed proportional derivative acceleration using a human balancing nonlinear model by applying Laplace Transform. The PDA
1 January 2024 in AIP Conference Proceedings
Conference Paper
Kailash YadavDPD Piriadarshani
D PiriadarshaniBJBeena James
Beena JamesHSHimanshu Shekhar
Himanshu ShekharIn this paper the Bernoulli wavelets technique is applied to determine the numerical solution of singular ordinary differential equations. From a mathematical v In this paper the Bernoulli wavelets technique is applied to determine the numerical solution of singular ordinary differential equations. From a mathematical v
9 December 2022 in Research Square
Preprint
Kailash YadavDPD Piriadarshani
D PiriadarshaniKGKavitha Ganesan
Kavitha GanesanHSHimanshu Shekhar Himanshu Shekhar
Himanshu Shekhar Himanshu ShekharIn this paper, Taylor Wavelets Technique (TWT) is applied to solve delay differential equation (DDE). Convergence and error estimation are defined using TWT and examples were given to support our results in computation of DDE for several different parameters. It is indicated that the suggested method is the suitable one for obtaining solution of a different classes of DDE which have been considered in a strong manner in current areas in several field of science and engineering.
7 December 2022 in Research Square
Preprint
In this article, a mass-spring-damper coupled to a pendulum for a real-time dynamic sub-structural model is developed as a nonlinear system through the Neutral Delay Differential equation using Laplace transform.
23 March 2022
Preprint
Kailash YadavRARamesh Babu A
Ramesh Babu A
In this paper, we have developed a mathematical technique for solving delay differential equations(DDES) which is based on the Taylor wavelets with the collocation method. And applying the convergence analysis, convergence and error analysis of the proposed technique of Taylor wavelets is worked out and it is shown to converge uniformly on it. We derive numerical solutions to DDES equations with various parameters using the Taylor wavelet technique (TWTS). And also the obtained TWTS based numerical solutions have been compared with the analytical solutions and existing methods of solutions. The error analysis in the obtained solutions shows the competence and consistency of the proposed method. It is predicted that the proposed method can be set up expansively and appropriate for the solution of a diverse classes of DDES arising in science and engineering.
About Me
**Biography of Dr. Kailash Yadav**
Dr. Kailash Yadav is an accomplished academician and researcher in the field of Mathematics, currently serving as an Associate Professor in Applied Sciences and Humanities (Mathematics). He is affiliated with Malaviya National Institute of Technology (MNIT), Jaipur, India, where he actively contributes to teaching, research, and academic development.
Dr. Yadav has established himself in the domain of pure and applied mathematics, with particular research interests in numerical analysis, differential equations, integral equations, and wavelet-based computational techniques. His work primarily focuses on developing efficient numerical methods for solving complex mathematical models arising in science and engineering.
He has authored and co-authored numerous research papers published in reputed national and international journals. His scholarly contributions include the study of wavelet techniques, operational matrices, and analytical methods for solving multidimensional and nonlinear differential equations. His publications have gained recognition within the academic community, contributing to advancements in computational mathematics and applied analysis.
Dr. Yadav is also actively involved in collaborative research with international scholars and has contributed to interdisciplinary studies, including applications of mathematical modeling in population dynamics and physical systems. He has guided students and researchers at various level
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