International Conference on Differential Equations and Control Problems: Modeling, Analysis and Computations(ICDECP19) June 17-19, 2019 ABSTRACT BOOKLET Editted by Dr. Muslim Malik Assistant Professor, School of Basic Sciences & Compiled by A Team of Research Scholar School of Basic sciences, India Institute of Technology Mandi Organised by: School of Basic Sciences Indian Institute of Technology Mandi, Mandi, H.P. June 12, 2019 ii Contents Plenary Talks 1 PDE: Classical and Modern (Prof. A. K. Nandkumaran)......................1 Set Differential Equations: An Overview and Recent Developments (Gnana Bhaskar Tenali)..1 Mathematical modeling and numerical simulation of particles in fluids of complex geometries (S. Sundar , Nityananda Roy, Thomas Goetz)..........................1 NUMERICAL METHODS TO CAPTURE δ SHOCKS ARISING IN THE SYSTEMS OF PRES- SURELESS GAS DYNAMICS (G.D. Veerappa Gowda)..................2 Chaotic behaviour in Differential and Difference Equations with their Fractal Nature (Mohammad Sajid).............................................2 A New Higher Order Nonliear PDE Model for Effective Image Denoising and its Fourier Spectral Accurate Solution (B.V. Rathish Kumar)...........................3 Application of Operator Theory in Controllability Analysis (Raju K. George)..........3 Parameter Uniform Numerical Schemes for a class of Singularly Perturbed Problems (Kapil Ku- mar Sharma).........................................5 Can parallel bearing surfaces support load- A Tribological Study (Prawal Sinha)........6 AN OVERVIEW ON INVERSE PROBLEMS ARISING IN FLUID DYNAMICS (JAIME H. ORTEGA)...........................................6 Differential quadrature in the study of vibrations of non-uniform FG circular plates under hydro- static peripheral loading and thermal environment (Roshan Lal)...............7 Invited Speakers 9 A Domain Decomposition Method for Singularly Perturbed Parabolic Reaction-Diffusion Prob- lems (S.C.S. Rao1 and S. Kumar2)..............................9 A Finite element approach to a moving boundary problem with variable thermal conductivity (Rajeev and Rishabh Daal)..................................9 Approximation Method for Generalized Fractional Derivatives with Application (Rajesh Pandey) 10 Entropy Stable Schemes For Relativistic Hydrodynamics Equations (Harish Kumar)...... 10 Nonlinear dynamics of Some Complex Ecological Sytems (R. P. Gupta)............. 10 A high-order quasi-variable meshes two-level implicit compact scheme for solving three-dimensional nonlinear non-stationary advection-diffusion equation (Navnit Jha)............. 11 Delayed Mathematical Models of HIV (Saroj Kumar Sahani)................... 11 Numerical Solution to Blood Model Navier-Stokes Equations in the Entrance Region of Concen- tric Annuli with Rotating Inner Wall (Srinivasa Rao Nadiminti1; N. Gayathri Devi1 and A.Kandasamy)......................................... 12 On the nondegenerate soliton solutions of Manakov system (M. Senthilvelan).......... 12 Noise-Induced extinction in an ecological model (Partha Sarathi Mandal)............ 13 Numerical Investigation of Natural Convection of Casson Fluids in a Square Porous Cavity under the Effects of Thermal Radiation. (Sapna Sharma)..................... 13 A PARAMETER-UNIFORM IMPLICIT SCHEME FOR TWO-PARAMETERS SINGULARLY PERTURBED PARABOLIC PROBLEMS (Devendra Kumar)............... 14 iii Modeling Lithiation Induced Stresses in High-Capacity Electrode Particles with Concentration Dependent Properties (Poornesh Kumar Koorata)...................... 14 Understanding molecular transport in a non-conserving systems: The role of interactions (Arvind Kumar Gupta)......................................... 15 SH-wave propagation in monoclinic medium with linearly varying inhomogeneity ( Sumit Kumar Vishwakarma, Tapas Ranjan Panigrahi, Rupinderjit Kaur.)................. 15 Stabilization and chaos control in multispecies system (Anuraj Singh).............. 16 A fourth-order orthogonal spline collocation method to fourth-order boundary value problems ( Anil).............................................. 16 Asymptotic Analysis of Steady Stokes Equations in an Oscillating Domain ( Bidhan Chandra Sardar)............................................ 17 Periodic solutions of vector disease model with harvesting term (Shilpee Srivastava)....... 17 Mixed Virtual Element Methods for fourth order nonlinear parabolic problems (P. Dhanumjaya, K. Balaje)........................................... 18 Generation of Uniform Magnetic Flux using different Coil and Plate Arrangement (Md Tarikul Islam, Md Ataur Rahman Khan, Md. Moniruzzaman Bhuyan, Mohammad Anwar Hossain, Md. Mehedi Hasan Bhuiyan.)................................. 18 Optimization methods and algorithms for non-parallel support vector machines (M. Tanveer).. 18 Elliptic problems with critical growth sign changing nonlinearities. (Sarika)........... 19 Modeling and Simulation of dc-dc Converter Based Power Electronics Learning : a review (In- dresh Yadav).......................................... 19 Solution of two-parameter singularly perturbed one dimensional parabolic equations using non- polynomial spline ( Shahna, Talat Sultana and Arshad Khan)................ 19 Creeping flow of a sphere in non-concentric spherical container using slip condition ( M. Krishna Prasad)............................................ 20 Two-warehouse inventory model with quantity discount policy ( Himanshu Rathore)...... 20 A Comparative Study of Natural Nanouid Convection for Different Initial and Boundary Condi- tions ( Jyoti Sharma)..................................... 21 Application of finite fractional Hankel-type transformation in Dirichlets problem (V. R. Lakshmi Gorty)............................................. 21 Existence Results for Fractional Impulsive Delay Differential Equations (Renu Chaudhary ).. 22 OPTIMAL CONTROL IN STOCHASTIC LANDAU-LIPSCHITZ-GILBERT EQUATION (Ananta K. Majee)........................................... 22 Survey of Nature Inspired Optimization Algorithms in Fuzzy Control Systems (Gaurav Saxena, Gomathi Bhavani, Shilpee S. Saxena)............................ 23 A study of approximate controllability for abstract nonlocal neutral integro-differential equations with finite delay (Kamaljeet)................................. 23 Complex plankton dynamics induced by adaptation and defense (Nilesh Kumar Thakur and Archana Ojha)........................................ 23 CONVERGENCE ANALYSIS OF TIKHONOV REGULARIZATION FOR NON-LINEAR STA- TISTICAL INVERSE LEARNING PROBLEMS (ABHISHAKE, GILLES BLANCHARD AND PETER MATHE).................................... 24 CONTROLLABILITY OF A CLASS OF FRACTIONAL IMPULSIVE DIFFERENTIAL EQUA- TIONS IN A BANACH SPACE (Abdur Raheem)...................... 24 APPROXIMATE CONTROLLABILITY OF SECOND ORDER SEMILINEAR CONTROL SYS- TEM WITH NONLOCAL CONDITIONS (Urvashi Arora and N. Sukavanam)...... 25 BOUNDEDNESS AND COMPACTNESS OF WEIGHTED DIFFERENTIATION COMPOSI- TION OPERATORS BETWEEN SOME WEIGHTED SPACES (Zaherr Abbas)...... 25 Optimization criteria for performance of heat engines working under different constraints ( Renuka Rai and Ramandeep Singh Johal)............................... 25 iv Wind turbine blade section optimization using a quantitative study (M. Balachandar)...... 26 Mathematical modeling in health science (Jagdev Singh)..................... 26 Fractional exothermic reactions models having constant heat source in porous media with differ- ent kind of memories (Devendra Kumar ).......................... 26 Piezothermoelastic continuum subjected to point mechanical load (Anita Devi Thakur)..... 27 Dynamical Analysis of Michaelis-Menten Enzyme Reactions (B S Lakshmi and S S Phulsagar). 27 Truss Topology Optimization With Static And Dynamic Constraints Using AISC-ASD ( Ghan- shyam G. Tejani)....................................... 28 Inuence of Temperature Jump and Concentration Slip on inclined MHD Bioconvection past a ver- tical porous plate in the presence of Nanoparticles and Gyrotactic Microorganism (Rakesh Choudhary and Shalini Jain)................................. 28 Numerical Solution of Linear and Higher order Delay Differential Equations using Coded Differ- ential Transform Method (Giriraj Methi And Anil Kumar).................. 29 Studies of Hyperloop Vehicle for Transportation: A Review (V. K. Srivastav; Aditya Priyanka; Abhishek Kumar; Shudhanshu Kumar; Anand Raj.)..................... 29 Effect of active case nding on dengue control: Implications from a mathematical model (Pankaj Kumar Tiwari)......................................... 29 Change in Stability Behavior of Spatiotemporal Phytoplankton Dynamics with Different Types of Functional Response (Randhir Singh Baghel)....................... 30 Modelling of duct based photovoltaic thermal (PVT) air collector (Rohit Tripathi1; G. N. Tiwari; Deepak Sharma)....................................... 30 Mathematical model of unstable self-limiting thermo chemical temperature oscillations in Aus- tralian Cycades (Akash Bhavsar)............................... 31 On the existence and uniqueness of solutions to discontinuous dynamic equation on time scales ( Sanket Tikare)......................................... 31 Generalized energy inequality for weak solutions to Damped Navier-Stokes equations (Rajib Haloi and Subha Pal)..................................... 32 Dynamical study of a delayed SEIRS model with saturated incidence and impulsive vaccination: Effect of household wastes ( Kunwer Singh Mathur)..................... 32