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Abstract

Yasir Nawaz Editor at IgMin Research

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Biography

My name is Yasir Nawaz, and I was born in Pakistan. I studied science subjects in ten years of educations and studied computer science as an optional subject in my eleventh and twelve years. All of my classes included mathematics as a subject. I spent two years studying in a college affiliated with Punjab University. Then, I earned my M.Sc. and M.Phil. degrees from Pakistan's top university (in sciences), Quaid-I-Azam University.

I received the first position in the M.Phil programme, which equates to eighteen years of education. My thesis was in pure mathematics, and I had some papers linked to it. In 2020, I received my PhD in Mathematics from Air University Islamabad in Pakistan. I taught at various universities in Pakistan. I was a permanent lecturer at Hitec University Taxila, Pakistan. I taught mathematics classes to undergraduate engineering students at Hitec University Taxila.

As a visiting faculty member at Nu-Fast Islamabad in Pakistan, I taught a mathematics course to undergraduate students. I worked as an online teacher, teaching mathematics to students primarily studying in foreign countries. In addition to teaching, I worked on a research project.

I have seventy-three international papers in pure, applied, and computational mathematics. My primary focus of research is computational mathematics, specifically numerical or computational approaches for solving problems in science and engineering. I also analyse numerical approaches before applying them to a problem in the form of a differential equation.

My work's uniqueness stems from its numerical approaches. Not only were computational methods used to science and engineering, but they were also modified. I proposed some unconditionally stable schemes, schemes for obtaining positive solutions in epidemic disease models, and numerical methods for controlling dissipation and dispersion errors that arise in discontinuous solutions of partial differential equations with physical applications known as Euler equations of gas dynamics. This approach to decreasing dispersion and dissipation errors differs from previous finite volume schemes, such as WENO (Weighted Essentially Non-Oscillatory Schemes).

As it is known in literature, the unconditionally stable schemes can have at most second order. However, I developed or built a third-order scheme that is unconditionally stable for solving time-dependent partial differential equations, however the scheme does not work for ordinary differential problem. I have proposed another first order explicit unconditionally stable scheme which can be used to get conditionally positive solutions of epidemic models. I also have proposed second order implicit unconditionally stable scheme.

Reasearch Interest

Mainly Computational/Numerical Methods/Techniques for Differential Equations.