Papers by Dr. Parcha Kalyani
An Early Detection of Pneumonia in CXR Images using Deep Learning Techniques
IOSR Journal of Mathematics, 2013
In this article an attempt is made to find the solution of one-dimensional Heat equation with ini... more In this article an attempt is made to find the solution of one-dimensional Heat equation with initial and boundary conditions using the techniques of numerical methods, and the finite differences. Applying Bender-Schmidt recurrence relation formula we found u(x ,t) values at lattice points. Further using the double interpolation we found the solution of Heat equation as double interpolating polynomial.
International Journal of Engineering Mathematics, 2013
In the present work a nonpolynomial spline function is used to approximate the solution of the se... more In the present work a nonpolynomial spline function is used to approximate the solution of the second order two point boundary value problems. The classes of numerical methods of second order, for a specific choice of parameters involved in nonpolynomial spline, have been developed. Numerical examples are presented to illustrate the applications of this method. The solutions of these examples are found at the nodal points with various step sizes and with various parameters (α, β). The absolute errors in each example are estimated, and the comparison of approximate values, exact values, and absolute errors of at the nodal points are shown graphically. Further, shown that nonpolynomial spline produces accurate results in comparison with the results obtained by the B-spline method and finite difference method.
γ-Photon attenuation study on CaF2
Materials Today: Proceedings, May 1, 2023
Mango Plant Disease Detection System Using Hybrid BBHE and CNN Approach
Traitement du Signal
Detection of plant diseases plays a crucial role in taking disease control measures to increase t... more Detection of plant diseases plays a crucial role in taking disease control measures to increase the quality and quantity of crops produced. Plant disease automation is beneficial because it eliminates surveillance work at significant farms. As plants are a food source, diagnosing leaf conditions early and accurately is essential. This work involves a detailed learning approach that automates leaf disease detection in mango plant species. This paper presents a detection system using Brightness Preserving Bi-Histogram Equalization (BBHE) and Convolutional Neural Network (CNN). The photographs of mango leaves were first flattened, then resized and translated to their threshold value, followed by feature extraction. CNN and BBHE have extensively been used for pattern recognition. The test images of affected leaves were subsequently uploaded to the system and then matched to the ailments being trained. Training data and test data were cross-validated to balance over-adjustment and under-...
In this article we found the numerical solution of singularly perturbed one dimensional convectio... more In this article we found the numerical solution of singularly perturbed one dimensional convection diffusion equation using Non-Standard finite difference method by following the Mickens Rules. To compare the results with the known methods we also found solution of one dimensional convection diffusion equation using standard backward and central finite difference schemes. The work has been illustrated through the examples for different values of small parameter ε, with different step lengths. The approximate solution is compared with the solution obtained by standard finite difference methods and exact solution. It has been observed that the approximate solution is an excellent agreement with exact solution. Low absolute error indicates that our numerical method is effective for solving perturbation problems.
In this communication, we defined new conditions on M 0 and M n of cubic spline interpolation. Wi... more In this communication, we defined new conditions on M 0 and M n of cubic spline interpolation. With the defined conditions, an attempt is made to investigate the accuracy of the estimation of the dependent variable at particular values of the independent variable. With these new conditions we observed that the error is reduced considerably compared to the other types of conditions on M 0 and M n .
Comparative Study of Higher Degree Spline Solutions of Linear Seventh Order Boundary Value Problems
International Journal of Mathematical Archive, 2017
I n this paper tenth degree spline approximations are developed following cubic spline Bickley’s ... more I n this paper tenth degree spline approximations are developed following cubic spline Bickley’s procedure for the numerical solutions of linear boundary value problems of order seven. Two numerical examples have been considered to illustrate the efficiency and implementation of the method. Numerical solutions are computed at different step lengths and compared with exact solutions. Absolute errors are also calculated. The results are tabulated and pictorially illustrated. Further the results are compared with the methods developed in [10 and 11].
Journal of Applied Mathematics and Physics, 2016
In this article, we develop numerical method by constructing ninth degree spline function using e... more In this article, we develop numerical method by constructing ninth degree spline function using extended cubic spline Bickley's method to find the approximate solution of seventh order linear boundary value problems at different step lengths. The approximate solution is compared with the solution obtained by eighth degree splines and exact solution. It has been observed that the approximate solution is an excellent agreement with exact solution. Low absolute error indicates that our numerical method is effective for solving high order linear boundary value problems.
Applied Mathematics, 2013
In this communication we have used Bickley's method for the construction of a sixth order spline ... more In this communication we have used Bickley's method for the construction of a sixth order spline function and apply it to solve the linear fifth order differential equations of the form v y x g x y x r x where g x and r x are given functions with the two different problems of different boundary conditions. The method is illustrated by applying it to solve some problems to demonstrate the application of the methods discussed.
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Papers by Dr. Parcha Kalyani