Mani Mehra

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List of research outcomes

Publication	Date of Publication	Type
Necessary optimality conditions for two dimensional fractional optimal control problems and error estimates for the numerical approximation	2024-03-21	Paper
Müntz–Legendre wavelet method for solving Sturm–Liouville fractional optimal control problem with error estimates	2024-01-18	Paper
A modified variable‐order fractional SIR model to predict the spread of COVID‐19 in India	2024-01-02	Paper
Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost	2023-12-12	Paper
Learning parameters of a system of variable order fractional differential equations	2023-12-12	Paper
Numerical solution of variable‐order stochastic fractional integro‐differential equation with a collocation method based on Müntz–Legendre polynomial	2023-12-12	Paper
High order approximation to Caputo derivative on graded mesh and time-fractional diffusion equation for non-smooth solutions	2023-09-23	Paper
An algorithm to estimate parameter in Müntz-Legendre polynomial approximation for the numerical solution of stochastic fractional integro-differential equation	2023-09-05	Paper
Distributed optimal control problems driven by space-time fractional parabolic equations	2023-04-11	Paper
Difference methods for stochastic space fractional diffusion equation driven by additive space-time white noise via Wong-Zakai approximation	2023-01-19	Paper
Nonhomogeneous backward heat conduction problem: compact filter regularization and error estimates	2021-11-29	Paper
Optimal Control Problems Driven by Time-Fractional Diffusion Equations on Metric Graphs: Optimality System and Finite Difference Approximation	2021-11-05	Paper
The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation	2021-10-26	Paper
Wavelet-optimized compact finite difference method for convection-diffusion equations	2021-10-21	Paper
Spectral graph wavelet regularization and adaptive wavelet for the backward heat conduction problem	2021-09-29	Paper
An approach based on Haar wavelet for the approximation of fractional calculus with application to initial and boundary value problems	2021-07-30	Paper
Collocation method for solving nonlinear fractional optimal control problems by using Hermite scaling function with error estimates	2021-07-22	Paper
Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: a study of fractional calculus on metric graph	2021-07-14	Paper
An adaptive spectral graph wavelet method for PDEs on networks	2021-05-18	Paper
Fractional optimal control problems on a star graph: optimality system and numerical solution	2021-05-05	Paper
Approximation of the differential operators on an adaptive spherical geodesic grid using spherical wavelets	2021-02-19	Paper
A Compact Filter Regularization Method for Solving Sideways Heat Equation	2020-09-22	Paper
A difference scheme for the time-fractional diffusion equation on a metric star graph	2020-09-18	Paper
A fast adaptive spectral graph wavelet method for the viscous Burgers' equation on a star‐shaped connected graph	2020-09-16	Paper
Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients	2020-06-10	Paper
Existence and uniqueness of time-fractional diffusion equation on a metric star graph	2020-04-16	Paper
Compact filtering as a regularization technique for a backward heat conduction problem	2020-04-07	Paper
Fast diffusion wavelet method for partial differential equations	2020-01-29	Paper
Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph	2019-07-31	Paper
High-order compact finite difference scheme for pricing Asian option with moving boundary condition	2019-05-21	Paper
Wavelets theory and its applications. A first course	2018-11-21	Paper
An Adaptive Wavelet Collocation Method for Solution of the Convection-Dominated Problem on a Sphere	2018-11-05	Paper
Integration of barotropic vorticity equation over spherical geodesic grid using multilevel adaptive wavelet collocation method	2018-08-30	Paper
Algorithm 986	2018-08-17	Paper
A numerical study of Asian option with high-order compact finite difference scheme	2018-07-19	Paper
FOURTH-ORDER COMPACT SCHEME FOR OPTION PRICING UNDER THE MERTON’S AND KOU’S JUMP-DIFFUSION MODELS	2018-06-29	Paper
A fast adaptive diffusion wavelet method for Burger's equation	2017-05-30	Paper
An adaptive meshfree spectral graph wavelet method for partial differential equations	2016-12-23	Paper
An adaptive meshfree diffusion wavelet method for partial differential equations on the sphere	2016-12-05	Paper
High-Order Compact Finite Difference Method for Black–Scholes PDE	2016-04-22	Paper
Multilevel approximation of the gradient operator on an adaptive spherical geodesic grid	2015-07-21	Paper
Algorithm 929	2014-09-12	Paper
Solutions of differential-difference equations arising from mathematical models of granulocytopoiesis	2014-08-06	Paper
APPROXIMATE SOLUTION OF MODIFIED CAMASSA–HOLM AND DEGASPERIS–PROCESI EQUATIONS USING WAVELET OPTIMIZED FINITE DIFFERENCE METHOD	2013-07-03	Paper
WAVELETS AND INVERSE PROBLEMS	2013-03-22	Paper
An Adaptive Multilevel Wavelet Solver for Elliptic Equations on an Optimal Spherical Geodesic Grid	2009-11-27	Paper
Wavelet optimized finite difference method using interpolating wavelets for self-adjoint singularly perturbed problems	2009-07-20	Paper
An adaptive wavelet collocation method for the solution of partial differential equations on the sphere	2008-08-19	Paper
CUBIC SPLINE ADAPTIVE WAVELET SCHEME TO SOLVE SINGULARLY PERTURBED REACTION DIFFUSION PROBLEMS	2008-05-14	Paper
Fast wavelet-Taylor Galerkin method for linear and non-linear wave problems	2007-09-19	Paper
A three-step wavelet Galerkin method for parabolic and hyperbolic partial differential equations	2006-03-14	Paper

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