Faculty Profile

Dr. Imran Naeem

Associate Professor

Mathematics

Dr Imran Naeem received the M. Phil. Applied Mathematics degree from Quaid-e-Azam University, Islamabad and the Ph.D. degree from University of the Witwatersrand, South Africa in 2004 and 2008. He did the Post Doctoral Fellowship from University of the Witwatersrand, South Africa and has also been teaching at the University of the Witwatersrand prior to joining LUMS. Dr Naeem has several publications in leading international journals.

Journal Articles
- Article
  - Naeem, I. .(2014). Editorial: Mathematical Methods and Models in the Natural to the Life Sciences . Abstract and Applied Analysis , Hindawi , pp. 2
  - Naeem, I. .(2014). Analytical solutions of time space fractional, advection-dispersion and Whitham-Broer-Kaup equations . Pramana - journal of physics , Springer , pp. 885-906
  - Naeem, I. .(2014). Comparison of different approaches to construct first integrals for ordinary differential equations . Abstract and Applied Analysis , Hindawi , pp. 15
  - Naeem, I. .(1999). Partial Noether operators and first integrals via partial Lagrangians . ,
  - Naeem, I. .(1999). Exact solutions of second grade aligned MHD fluid with prescribed vorticity . ,
  - Naeem, I. .(1999). Conservation laws for Camassa-Holm equation, Dullin-Gottwald-Holm equation and generalized Dullin-Gottwald-Holm equation . ,
  - Naeem, I. .(1999). Conditional linearizability criteria for a system of third-order ordinary differential equations . ,
  - Naeem, I. .(1999). Conservation laws for heat equation on curved surfaces . ,
  - Naeem, I. .(1999). Conservation laws and exact solutions of a class of non linear regularized long wave equations via double reduction theory and Lie symmetries . ,
  - Naeem, I. .(1999). Wall jet on a hemi-spherical shell: conserved quantities and group invariant solution . ,
  - Naeem, I. .(1999). First integrals for a general linear system of two second-order ODEs via a partial Lagrangian . ,
  - Naeem, I. .(1999). Approximate partial Noether operators and first integrals for coupled nonlinear oscillators . ,
  - Naeem, I. .(1999). Reductions and new exact solutions of ZK, Gardner KP, and modified KP equations via generalized double reduction theorem . ,
  - Naeem, I. .(1999). Similarity variables and reduction of the heat equation on torus . ,
  - Naeem, I. .(1999). Noether, partial Noether operators and first integrals for a linear system . ,
  - Naeem, I. .(1999). First integrals for two linearly coupled nonlinear Duffing oscillators . ,
  - Naeem, I. .(1999). Approximate first integrals for a system of two coupled van der Pol oscillators with linear diffusive coupling . ,
  - Naeem, I. .(1999). Partial Noether operators and first integrals for a system with two degrees of freedom . ,
  - Naeem, I. .(1999). Conservation laws of some physical models via symbolic package GeM . ,
  - Naeem, I. .(1999). Nonclassical symmetry analysis of boundary layer equations . ,
  - Naeem, I. .(1999). A partial lagrangian approach to mathematical models of epidemiology . ,
  - Naeem, I. .(1999). Conserved quantities for a class of (1+ n)-dimensional linear evolution equation . ,
  - Naeem, I. .(1999). Conservation laws and conserved quantities for laminar radial jets with swirl . ,
  - Naeem, I. .(1999). First integrals for systems via complex partial Lagrangians . ,
  - Naeem, I. .(1999). Group invariant solutions for radial jet having finite fluid velocity at orifice . ,
  - Naeem, I. .(1999). Symmetry classification of time-fractional diffusion equation . ,
  - Naeem, I. .(1999). First integrals and exact solutions of the SIRI and tuberculosis models . ,
  - Naeem, I. .(1999). Nonclassical Symmetry Analysis of Heated Two-Dimensional Flow Problems . ,
  - Naeem, I. .(1999). Analytical solutions of time-space fractional, advection-dispersion and Whitham-Broer-Kaup equations . ,
  - Naeem, I. .(1999). Mathematical Methods and Models in the Natural to the Life Sciences . ,
  - Naeem, I. .(1999). Exact Solutions of Generalized Modified Boussinesq, Kuramoto-Sivashinsky, and Camassa-Holm Equations via Double Reduction Theory . ,
  - Naeem, I. .(1999). Group Invariant Solution for a Liquid Film on the Surface of a Sphere . ,
  - Naeem, I. .(1999). Derivation of Conservation Laws for (1+ 2)-dimensional Wave Equation on Curved Surfaces . ,
  - Naeem, I. .(1999). Noether, partial noether operators and first integrals for systems . ,
  - Naeem, I. .(1999). Southeastern-Atlantic Regional Conference on Differential Equations . ,
  - Naeem, I. Group classification and exact solutions of generalized modified Boussinesq equation . Applicable analysis , Taylor & Francis

Title	Semester	Code
Introduction to Differential Equations	Fall Semester 2014-15	1401
Symmetry Methods for Differential Equations	Fall Semester 2014-15	1401
Symmetry Methods, Conservation Laws and Exact Solutions for Differential Equations	Fall Semester 2014-15	1401
Linear Algebra with Differential Equations	Spring Semester 2014-15	1402
Calculus-I	Summer Semester 2014-15	1403
Linear Algebra with Differential Equations	Summer Semester 2014-15	1403
Introduction to Differential Equations	Fall Semester 2015-16	1501
Symmetry Methods for Differential Equations	Fall Semester 2015-16	1501
Symmetry Methods, Conservation Laws and Exact Solutions for Differential Equations	Fall Semester 2015-16	1501
Linear Algebra with Differential Equations	Spring Semester 2015-16	1502
Doctoral Thesis Research	Summer Semester 2015-16	1503
Doctoral Thesis Research	Fall Semester 2016-17	1601
Linear Algebra with Differential Equations	Fall Semester 2016-17	1601
Symmetry Methods for Differential Equations	Fall Semester 2016-17	1601
Symmetry Methods, Conservation Laws and Exact Solutions for Differential Equations	Fall Semester 2016-17	1601
Master's Thesis I	Fall Semester 2016-17	1601
Calculus-I	Spring Semester 2016-17	1602
Doctoral Thesis Research	Spring Semester 2016-17	1602
Linear Algebra with Differential Equations	Spring Semester 2016-17	1602
Master's Thesis II	Spring Semester 2016-17	1602
Doctoral Thesis Research	Summer Semester 2016-17	1603
Symmetry Methods for Differential Equations	Fall Semester 2017-18	1701
Symmetry Methods, Conservation Laws and Exact Solutions for Differential Equations	Fall Semester 2017-18	1701

Past Courses

Title	Semester	Code
Independent Study	Fall Semester 2009-10	901
Symmetries & Exact Solutions of ODEs	Fall Semester 2009-10	901
PhD Reading Course-Introduction to Perturbation Techniques	Fall Semester 2009-10	901
Introduction to Differential Equations	Fall Semester 2009-10	901
Independent Study	Spring Semester 2009-10	902
Independent Study	Spring Semester 2009-10	902
PhD Reading Course-Symmetries & Exact Solutions for Differential Equations	Spring Semester 2009-10	902
PhD Reading Course-First Integral & Conservation Laws for Differential Equations	Spring Semester 2009-10	902
PhD Reading Course Complex Lie Symmetries & First Integral via Complex Partial Languages	Spring Semester 2009-10	902
Introduction to Differential Equations	Spring Semester 2009-10	902
Linear Algebra I	Spring Semester 2009-10	902
Independent Study	Summer Semester 2009-10	903
Calculus-I	Fall Semester 2010-11	1001
Advanced Calculus	Fall Semester 2010-11	1001
Research Units	Fall Semester 2010-11	1001
PhD Reading Course-First Integral & Conservation Laws for Differential Equations	Fall Semester 2010-11	1001
Linear Algebra I	Fall Semester 2010-11	1001
Research Units	Spring Semester 2010-11	1002
Advanced Calculus	Fall Semester 2011-12	1101
Doctoral Thesis Research	Fall Semester 2011-12	1101
Introduction to Differential Equations	Fall Semester 2011-12	1101
Linear Algebra I	Fall Semester 2011-12	1101
Ordinary Differential Equations	Spring Semester 2011-12	1102
Doctoral Thesis Research	Spring Semester 2011-12	1102
Doctoral Thesis Research	Fall Semester 2012-13	1201
Introduction to Differential Equations	Fall Semester 2012-13	1201
Linear Algebra with Differential Equations	Spring Semester 2012-13	1202
Symmetry Methods for Differential Equations	Spring Semester 2012-13	1202
Symmetry Methods, Conservation Laws and Exact Solutions for Differential Equations	Spring Semester 2012-13	1202
Calculus-I	Fall Semester 2013-14	1301
Doctoral Thesis Research	Fall Semester 2013-14	1301
Ordinary Differential Equations	Spring Semester 2013-14	1302
Doctoral Thesis Research	Spring Semester 2013-14	1302
Linear Algebra with Differential Equations	Spring Semester 2013-14	1302

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Faculty Profile

Dr. Imran Naeem

Associate Professor

Mathematics

Naeem, I. .(2014). Editorial: Mathematical Methods and Models in the Natural to the Life Sciences . Abstract and Applied Analysis , Hindawi , pp. 2

Naeem, I. .(2014). Analytical solutions of time space fractional, advection-dispersion and Whitham-Broer-Kaup equations . Pramana - journal of physics , Springer , pp. 885-906

Naeem, I. .(2014). Comparison of different approaches to construct first integrals for ordinary differential equations . Abstract and Applied Analysis , Hindawi , pp. 15

Naeem, I. .(1999). Partial Noether operators and first integrals via partial Lagrangians . ,

Naeem, I. .(1999). Exact solutions of second grade aligned MHD fluid with prescribed vorticity . ,

Naeem, I. .(1999). Conservation laws for Camassa-Holm equation, Dullin-Gottwald-Holm equation and generalized Dullin-Gottwald-Holm equation . ,

Naeem, I. .(1999). Conditional linearizability criteria for a system of third-order ordinary differential equations . ,

Naeem, I. .(1999). Conservation laws for heat equation on curved surfaces . ,

Naeem, I. .(1999). Conservation laws and exact solutions of a class of non linear regularized long wave equations via double reduction theory and Lie symmetries . ,

Naeem, I. .(1999). Wall jet on a hemi-spherical shell: conserved quantities and group invariant solution . ,

Naeem, I. .(1999). First integrals for a general linear system of two second-order ODEs via a partial Lagrangian . ,

Naeem, I. .(1999). Approximate partial Noether operators and first integrals for coupled nonlinear oscillators . ,

Naeem, I. .(1999). Reductions and new exact solutions of ZK, Gardner KP, and modified KP equations via generalized double reduction theorem . ,

Naeem, I. .(1999). Similarity variables and reduction of the heat equation on torus . ,

Naeem, I. .(1999). Noether, partial Noether operators and first integrals for a linear system . ,

Naeem, I. .(1999). First integrals for two linearly coupled nonlinear Duffing oscillators . ,

Naeem, I. .(1999). Approximate first integrals for a system of two coupled van der Pol oscillators with linear diffusive coupling . ,

Naeem, I. .(1999). Partial Noether operators and first integrals for a system with two degrees of freedom . ,

Naeem, I. .(1999). Conservation laws of some physical models via symbolic package GeM . ,

Naeem, I. .(1999). Nonclassical symmetry analysis of boundary layer equations . ,

Naeem, I. .(1999). A partial lagrangian approach to mathematical models of epidemiology . ,

Naeem, I. .(1999). Conserved quantities for a class of (1+ n)-dimensional linear evolution equation . ,

Naeem, I. .(1999). Conservation laws and conserved quantities for laminar radial jets with swirl . ,

Naeem, I. .(1999). First integrals for systems via complex partial Lagrangians . ,

Naeem, I. .(1999). Group invariant solutions for radial jet having finite fluid velocity at orifice . ,

Naeem, I. .(1999). Symmetry classification of time-fractional diffusion equation . ,

Naeem, I. .(1999). First integrals and exact solutions of the SIRI and tuberculosis models . ,

Naeem, I. .(1999). Nonclassical Symmetry Analysis of Heated Two-Dimensional Flow Problems . ,

Naeem, I. .(1999). Analytical solutions of time-space fractional, advection-dispersion and Whitham-Broer-Kaup equations . ,

Naeem, I. .(1999). Mathematical Methods and Models in the Natural to the Life Sciences . ,

Naeem, I. .(1999). Exact Solutions of Generalized Modified Boussinesq, Kuramoto-Sivashinsky, and Camassa-Holm Equations via Double Reduction Theory . ,

Naeem, I. .(1999). Group Invariant Solution for a Liquid Film on the Surface of a Sphere . ,

Naeem, I. .(1999). Derivation of Conservation Laws for (1+ 2)-dimensional Wave Equation on Curved Surfaces . ,

Naeem, I. .(1999). Noether, partial noether operators and first integrals for systems . ,

Naeem, I. .(1999). Southeastern-Atlantic Regional Conference on Differential Equations . ,

Naeem, I. Group classification and exact solutions of generalized modified Boussinesq equation . Applicable analysis , Taylor & Francis