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Muhammad Yousuf

Muhammad Yousuf

Professor

📍 5-309📞 966138607196✉️ myousuf@kfupm.edu.sa🔗 Pure

Research Overview

Research topics include Order, Time Step, and American Option.

Order

Time Step

American Option

Efficiency

Nonlinear

Fourth-Order

Education

MS
University of the Punjab, . MS, King fahd University of Petroleum & Minerals
1992, 1997
PhD
University of Wisconsin, Milwaukee, USA
2005

Selected Publications

TitleJournalYear
Stability analysis and numerical simulation of nonlocal extended epidemic models using positivity-preserving schemeScientific Reports2026
Predictor-Corrector Scheme for Multi-Dimensional Time-Space Fractional Reaction-Diffusion ModelsNumerical Methods for Partial Differential Equations2025
Highly Efficient Energy Stable Schemes for Multi-dimensional Space Fractional Reaction-Diffusion ModelsVenue not listed2025
Fourier spectral methods based on restricted Padé approximations for space fractional reaction-diffusion systemsComputers and Mathematics with Applications2025
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equationsInternational Journal of Computer Mathematics2024
Runge-Kutta type Time Stepping Methods for Space Fractional Reaction Diffusion Model with Restricted Padé ApproximationIFAC-PapersOnLine2024
Highly Efficient Numerical Algorithm for Nonlinear Space Variable-Order Fractional Reaction–Diffusion ModelsFractal and Fractional2023
Partial differential integral equation model for pricing American option under multi state regime switching with jumpsNumerical Methods for Partial Differential Equations2023
A hybrid fourth order time stepping method for space distributed order nonlinear reaction-diffusion equationsComputers and Mathematics with Applications2023
PRICING AMERICAN OPTION USING A MODIFIED FRACTIONAL BLACK–SCHOLES MODEL UNDER MULTI-STATE REGIME SWITCHINGInternational Journal of Theoretical and Applied Finance2023
A Fourth-Order Time-Stepping Method for Two-Dimensional, Distributed-Order, Space-Fractional, Inhomogeneous Parabolic EquationsFractal and Fractional2022

Graduate Students

PhD Students

👤
👤
Modi Ali F Alsubaie
Current Ph.D. student
👤
Arwa Alqwasmah
Current Ph.D. student

MS Students

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Courses Taught

Office Hours

Sunday
1:00-1:45PM
Tuesday
1:00-1:45PM
Thursday
1:00-1:45PM
Remarks
Also by appointment.
Also by appointment.

Undergraduate

ISE 291ISE 291MATH 101Calculus IMATH 102Calculus IIMATH 132MATH 132MATH 201Calculus IIIMATH 202MATH 202MATH 208Differential Equations & Linear AlgebraMATH 302MATH 302MATH 333Methods of Applied Mathematics IMATH 371Introduction to Numerical ComputingMATH 472MATH 472

Graduate

MATH 513Mathematical Methods for EngineersMATH 514MATH 514MATH 557Applied Linear AlgebraMATH 571Numerical Analysis of Ordinary Differential EquationsMATH 673MATH 673