{"title":"Simulating Gradient Contour and Mesh of a Scalar Field","authors":"Usman Ali Khan, Bismah Tariq, Khalida Raza, Saima Malik, Aoun Muhammad","volume":56,"journal":"International Journal of Physical and Mathematical Sciences","pagesStart":1138,"pagesEnd":1144,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/11609","abstract":"This research paper is based upon the simulation of\r\ngradient of mathematical functions and scalar fields using MATLAB.\r\nScalar fields, their gradient, contours and mesh\/surfaces are\r\nsimulated using different related MATLAB tools and commands for\r\nconvenient presentation and understanding. Different mathematical\r\nfunctions and scalar fields are examined here by taking their\r\ngradient, visualizing results in 3D with different color shadings and\r\nusing other necessary relevant commands. In this way the outputs of\r\nrequired functions help us to analyze and understand in a better way\r\nas compared to just theoretical study of gradient.","references":"[1] Matthew N. O. Sadiku, Elements of Electromagnetics, 3rd ed.\r\nSection 3.5, Gradient of a Scalar. Oxford University Press,\r\n2001, pp. 20-56.\r\n[2] Wilfred Kaplan, Advanced Calculus, 4th ed. Section 3.3, The\r\nGradient Field. Addison-Wesley, 1991, pp. 145-165\r\n[3] Schey, H. M. Div, Grad, Curl, and All That: An Informal Text\r\non Vector Calculus, 3rd ed. New York: W. W. Norton, 1997,pp\r\n220-260.\r\n[4] N. von Ellenrieder, C. Muravchik, E. Spinelli, A. Nehoraiy, J.\r\nRoitmanz, W. Silvaz and S. Kochenz, Performance of the\r\nElectroencephalography Inverse Problem using the Electric\r\nPotential Gradient Measurements. IEEE 2003.E. H. Miller, \"A\r\nnote on reflector arrays (Periodical style\u00d4\u00c7\u00f6Accepted for publication),\"\r\nIEEE Trans. Antennas Propagat., to be published.\r\n[5] Morse, P. M. and Feshbach, H. Methods of Theoretical Physics,\r\nPart I. New York: McGraw-Hill, 1953,ch-6,7\r\n[6] David A. Rothstein, Craig E. Manning. Geothermal gradients in\r\ncontinental magmatic arcs: Constraints from the eastern\r\nPeninsular Ranges batholiths, Baja California, M\u00e9xico,\r\nGeological society of America, USA 2003.\r\n[7] Fundamental of Electromagnetics with MATLAB, by\r\nKarl.E.Lonngren and Sava V.Savov, Randay.J.Jost, 2nd ed.\r\n2007.M. Young, The Techincal Writers Handbook. Mill Valley, CA:\r\nUniversity Science, 1989.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 56, 2011"}