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- 저자 : A. Ramesh Babu (검색결과 13 건)
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A. Ramesh Babu,N. Ramanujam 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.5
We consider singularly perturbed Boundary Value Problems (BVPs) for third and fourth order Ordinary Differential Equations(ODEs) of convection-diffusion type with discontinuous source term and a small positive parameter multiplying the highest derivative. Because of the type of Boundary Conditions(BCs) imposed on these equations these problems can be transformed into weakly coupled systems. In this system, the first equation does not have the small parameter but the second contains it. In this paper a computational method named as " An asymptotic finite element method " for solving these systems is presented. In this method we first find an zero order asymptotic approximation to the solution and then the system is decoupled by replacing the first component of the solution by this approximation in the second equation. Then the second equation is independently solved by a fitted mesh Finite Element Method (FEM). Numerical experiments support our theoritical results. We consider singularly perturbed Boundary Value Problems (BVPs) for third and fourth order Ordinary Differential Equations(ODEs) of convection-diffusion type with discontinuous source term and a small positive parameter multiplying the highest derivative. Because of the type of Boundary Conditions(BCs) imposed on these equations these problems can be transformed into weakly coupled systems. In this system, the first equation does not have the small parameter but the second contains it. In this paper a computational method named as " An asymptotic finite element method " for solving these systems is presented. In this method we first find an zero order asymptotic approximation to the solution and then the system is decoupled by replacing the first component of the solution by this approximation in the second equation. Then the second equation is independently solved by a fitted mesh Finite Element Method (FEM). Numerical experiments support our theoritical results.
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Pravina P.,Babu M. Ramesh,Kumar A. Ramesh 대한전기학회 2021 Journal of Electrical Engineering & Technology Vol.16 No.4
The power utility industry is virtually one of the major industries of every nation. Because each power network is so widely geographically distributed, the administration of a power system is faced with a number of operational challenges that are often hard to tackle, and computational approach has shown a way to optimize some of these problems, as shown by the increased attention that the research community has paid for it and by the number of studies that have been recently published. Given that a number of nonlinear mathematical functions need to be handled for the optimization of power system operational problems, we discuss here a novel algorithm based on an adaptive quasi-oppositional diff erential migrated biogeography-based optimization, with the aim to identify the optimal control variables for diff erent objectives of optimal power fl ow problems, and it is expected that our work could motivate further exploration of this optimization algorithm in this fi eld by the peers. In our work, we attempted to modify the mutation operator of a Diff erential Evolution algorithm with migration operator of a biogeography-based optimization (BBO) algorithm so as to improve the exploration ability of the resulting model. Furthermore, a quasi-oppositional based learning technique was evoked to increase the adaptability of the mutation operator of BBO, thereby enhancing its exploitation ability. Finally, the accuracy and robustness of the proposed algorithm were tested by applying on IEEE 30-bus and IEEE 118-bus systems and also results were compared with the results reported in the recent literature.
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A. Ramesh Babu,T. Valanarasu 한국전산응용수학회 2019 Journal of applied mathematics & informatics Vol.37 No.5
In this paper, we consider boundary value problem for a weakly coupled system of two singularly perturbed differential equations of convection diffusion type with discontinuous source term. In general, solution of this type of problems exhibits interior and boundary layers. A numerical method based on streamline diffusiom finite element and Shishkin meshes is presented. We derive an error estimate of order O(N^-2 ln^2 N) in the maximum norm with respect to the perturbation parameters. Numerical experiments are also presented to support our theoritical results.
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A. Ramesh Babu,N. Ramanujam 한국전산응용수학회 2010 Journal of applied mathematics & informatics Vol.28 No.1
In this article, we consider singularly perturbed Boundary Value Problems(BVPs) for second order Ordinary Differential Equations (ODEs) with Neumann boundary condition and discontinuous source term. A parameter-uniform error bound for the solution is established using the Streamline-Diffusion Finite Element Method (SDFEM) on a piecewise uniform meshes. We prove that the method is almost second order of convergence in the maximum norm, independently of the perturbation parameter. Further we derive superconvergence results for scaled derivatives of solution of the same problem. Numerical results are provided to substantiate the theoretical results.
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Babu, A. Ramesh,Ramanujam, N. The Korean Society for Computational and Applied M 2010 Journal of applied mathematics & informatics Vol.28 No.1
In this article, we consider singularly perturbed Boundary Value Problems(BVPs) for second order Ordinary Differential Equations (ODEs) with Neumann boundary condition and discontinuous source term. A parameter-uniform error bound for the solution is established using the Streamline-Diffusion Finite Element Method (SDFEM) on a piecewise uniform meshes. We prove that the method is almost second order of convergence in the maximum norm, independently of the perturbation parameter. Further we derive superconvergence results for scaled derivatives of solution of the same problem. Numerical results are provided to substantiate the theoretical results.
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A. Chithambar Ganesh,M. Muthukannan,R. Malathy,C. Ramesh Babu 대한토목학회 2019 KSCE JOURNAL OF CIVIL ENGINEERING Vol.23 No.10
This paper presents the experimental results of self-healing efficiency of two different bacteria namely Bacillus sphaericus and Bacillus subtilis incorporated in with polypropylene fibre reinforced concrete. Concrete was prepared with an optimum amount of polypropylene fibre and cultured bacteria. The artificial cracks were formed in the concrete to perform this investigation. The cracked concrete was observed at constant intervals. The effectiveness of self-healing was evaluated by the mechanical test over the bacterial concrete with fibre (BCF). The results obtained from the mechanical study show that the BCF produced commendable results. The precipitation characteristic analysis was carried out by SEM and XRD diffractogram analysis was performed to confirm the precipitation in BCF. The analysis shows that there is a presence of sufficient self-healing compound in cracked concrete. The effectiveness of the developed BCF concrete in regaining strength shows a substantial increase in strength after self-healing therefore, the effectiveness of self-healing of BCF is admirable.
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An Explainable Deep Learning Approach for Oral Cancer Detection
Babu P. Ashok,Rai Anjani Kumar,Ramesh Janjhyam Venkata Naga,Nithyasri A.,Sangeetha S.,Kshirsagar Pravin R.,Rajendran A.,Rajaram A.,Dilipkumar S. 대한전기학회 2024 Journal of Electrical Engineering & Technology Vol.19 No.3
With a high death rate, oral cancer is a major worldwide health problem, particularly in low- and middle-income nations. Timely detection and diagnosis are crucial for efective prevention and treatment. To address this challenge, there is a growing need for automated detection systems to aid healthcare professionals. Regular dental examinations play a vital role in early detection. Transfer learning, which leverages knowledge from related domains, can enhance performance in target categories. This study presents a unique approach to the early detection and diagnosis of oral cancer that makes use of the exceptional sensory capabilities of the mouth. Deep neural networks, particularly those based on automated systems, are employed to identify intricate patterns associated with the disease. By combining various transfer learning approaches and conducting comparative analyses, an optimal learning rate is achieved. The categorization analysis of the reference results is presented in detail. Our preliminary fndings demonstrate that deep learning efectively addresses this challenging problem, with the Inception-V3 algorithm exhibiting superior accuracy compared to other algorithms.
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Babu, A. Ramesh,Ramanujam, N. Korean Society of Computational and Applied Mathem 2008 Journal of applied mathematics & informatics Vol.26 No.5
We consider singularly perturbed Boundary Value Problems (BVPs) for third and fourth order Ordinary Differential Equations(ODEs) of convection-diffusion type with discontinuous source term and a small positive parameter multiplying the highest derivative. Because of the type of Boundary Conditions(BCs) imposed on these equations these problems can be transformed into weakly coupled systems. In this system, the first equation does not have the small parameter but the second contains it. In this paper a computational method named as 'An asymptotic finite element method' for solving these systems is presented. In this method we first find an zero order asymptotic approximation to the solution and then the system is decoupled by replacing the first component of the solution by this approximation in the second equation. Then the second equation is independently solved by a fitted mesh Finite Element Method (FEM). Numerical experiments support our theoritical results.
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BABU, A. RAMESH,VALANARASU, T. The Korean Society for Computational and Applied M 2019 Journal of applied mathematics & informatics Vol.37 No.5
In this paper, we consider boundary value problem for a weakly coupled system of two singularly perturbed differential equations of convection diffusion type with discontinuous source term. In general, solution of this type of problems exhibits interior and boundary layers. A numerical method based on streamline diffusiom finite element and Shishkin meshes is presented. We derive an error estimate of order $O(N^{-2}\;{\ln}^2\;N$) in the maximum norm with respect to the perturbation parameters. Numerical experiments are also presented to support our theoritical results.
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Pamarthy Chenna Rao,M. Ramesh Patnaik,A. Sathi Babu 보안공학연구지원센터 2015 International Journal of Signal Processing, Image Vol.8 No.11
In this paper, delay-limited transmission of Quasi-stationary sources over block fading channels is considered. Considering distortion outage probability as the performance measure, two source and channel coding schemes with power adaptive transmission are presented. The delay limited transmission of a quasi-stationary source over a block fading channel is from the perspective of source and channel coding design and it utilizes performance scaling laws. Because In a Quasi -stationary sources time utilization takes a major role. For that the first one is optimized for fixed rate transmission, and hence enjoys simplicity of implementation. The second one is a high performance scheme, which also benefits from optimized rate adaptation with respect to source and channel states. In high SNR regime, the performance scaling laws in terms of outage distortion exponent and asymptotic outage distortion gain are derived, where two schemes with fixed transmission power and adaptive or optimized fixed rates are considered as benchmarks for comparisons. Various analytical and numerical results are provided which demonstrate a superior performance for source and channel optimized rate and power adaptive scheme.
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