Solving one dimensional heat equation and groundwater flow modeling using finite difference method

This research was conducted to solve one dimensional heat equation and groundwater flow equation using Finite Difference Method. Three Finite Difference methods were chosen to solve parabolic Partial Differential Equations which are Explicit, Implicit and Crank-Nicolson method. The algorithm for eac...

Full description

Bibliographic Details
Main Author:	Abd. Jalil, Nur Fariha
Format:	Thesis
Language:	English
Published:	2014
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/78324/1/NurFarihaAbdJalilMFS20141.pdf

Similar Items

Solving two-dimensional groundwater flow equation using alternating direction implicit method
by: Ahmad Nordin, Norain
Published: (2014)

Meshless basis set for solving one-dimensional time independent Schrodinger Equation
by: Teh, Huey Ching
Published: (2011)

Mathematica Packages for Solving Schrodinger Equation with One Dimensional Rectangular Potentials
by: Siddig, Abubaker Ahmed Mohamed
Published: (2003)

Solving damped wave equation using finite difference method and interpolation using cubic B-spline
by: Arzmi, Nur Farahim
Published: (2014)

Newton-Kantorovich method for solving one- and two-dimensional nonlinear Volterra integral equations of the second kind
by: Hameed, Hameed Husam
Published: (2016)

Application of smoothed particle hydrodynamics method in two-dimensional heat equation
by: Omar, Nur Aisyah
Published: (2011)

Spectral homotopy analysis method and composite Chebyshev finite difference method for solving integro-differential equations
by: Atabakan, Zohreh Pashazadeh
Published: (2015)

Parallel computation of finite difference method for heat conduction in duct problem
by: Abd. Aziz, Noor Syazwana
Published: (2012)

Calculation of finite difference method and differential quadrature method for burgers equation
by: Ab. Aziz, Amiruddin
Published: (2014)

Finite difference method and finite volume method for solving navier-stokes equation in sea water movement
by: Mohamed, Nur Syahida
Published: (2013)

Numerical solution of one dimensional burgers’ equation solving with explicit FTCS method and implcit BTCS method
by: Azmi, Nurfarhana
Published: (2017)

Solving burger’s equantion using explicit finite difference method and method of line
by: Tan, Carrie Shiau Ying
Published: (2017)

Numerical solution of keller-segel equation using finite difference method and method of lines
by: Mostakim, Marliah
Published: (2019)

Least-squares finite element method for solving stokes equation with a point source magnetic field
by: Che Ayob, Alia Rafiza
Published: (2022)

Numerical modelling and simulation for one-dimensional fluid structure interaction in blood flow
by: Tang, Aik Ying
Published: (2017)

Numerical simulation of the nonlinear schrodinger equation using stable implicit finite difference methods
by: Alanazi, Abeer Ayed Khalaf
Published: (2022)

Study on solutions of heat problems using finite difference methods and method of lines incorporate with RK-liked methods
by: Wan Abdullah, Wan Rukaida
Published: (2004)

One-dimension high-order compact method for solving euler's equation
by: Mohamad, Mahmod Abd Hakim bin
Published: (2010)

Finite element method for two-dimensional elasticity problem
by: Othman, Hanimah
Published: (2010)

Three-dimensional finite element modeling of groundwater flow and solute transport for the lower indus Basin, Pakistan
by: Chandio, Abdul Samad
Published: (2012)

Overview on solving stiff problems using one-step methods
by: Tey, Kai Wean
Published: (2001)

Block one-step methods for solving stiff differential equations
by: Mohd Zabidi, Muhammad Izzat Zakwan
Published: (2014)

The application of discrete homotopy analysis method in one-dimensional thermal problem
by: Ooi, Qian Fen
Published: (2014)

Finite Difference Methods For Linear Fuzzy Time Fractional Diffusion And Advection-Diffusion Equation
by: Zureigat, Hamzeh Husni Rasheed
Published: (2019)

Hybrid numerical approach of finite difference and asymptotic interpolation methods for non-newtonian fluids flow
by: Mahadi, Shafaruniza
Published: (2022)

One-step block methods for solving ordinary and delay differential equations
by: Mohd Radzi, Hazwani
Published: (2011)

Finite element formulation of one-dimensional uncoupled and couple consolidation
by: Wan Hassan, Wan Nur Firdaus
Published: (2013)

Finite element formulation of one-dimensional uncoupled and coupled consolidation
by: Wan Hassan, Wan Nur Firdaus
Published: (2013)

The solution of advection-diffusion equation for the transport of solutes in groundwater problems
by: Krishnan, Saras
Published: (1998)

Determination of concentration of pesticide in groundwater using mass balance equation
by: Ab. Rashid, Norul Azliza
Published: (2014)

Parallelization technique of two dimensional heat problem using finite element method
by: Mansor, Nur Hidayah
Published: (2010)

Numerical method for solving a nonlinear inverse diffusion equation
by: Jominis, Rachel Aswin
Published: (2014)

G-Jitter effect on heat and mass transfer of three-dimensional stagnation point nanofluid flow
by: Ahmad Kamal, Mohamad Hidayad
Published: (2022)

Solution and interpolation of one-dimensional heat equation by using cran-nicolson, Cubic Spline and Cubic B-Spline
by: Wan Sulaiman, Wan Khadijah
Published: (2013)

Stochastic groundwater flow a case study in Pontian
by: Juma'at, Nuramirah
Published: (2014)

One dimensional solute transport in homogeneous porous domain
by: Mat Toridi, Noorellimia
Published: (2013)

Approximate Analytical Methods For Solving Fredholm Integral Equations
by: Taleb Almousa, Mohammad Salameh
Published: (2015)

Splines For Two-Dimensional Partial Differential Equations
by: Abd Hamid, Nur Nadiah
Published: (2016)

Solving fractional diffusion equation using variational iteration method adomian decomposition method
by: Norizkiah Dzulkarnian
Published: (2013)

A Study Of Several Explicit Finite Difference Schemes For The Linear Convection Equation
by: Abdullah, Norul Huda
Published: (2007)