Introduction to Perturbation Methods

MATLAB Files The following are the MATLAB files used to generate the respective figure (directions). Note that I save the figures in eps format for the book.

	fig12.m		Fig 1.2
	fig15.m		Fig 1.5
	fig19.m		Fig 1.9
	fig111.m		Fig 1.11
	fig114.m		Fig 1.14

Chapter 2: Matched Asymptotic Expansions

MATLAB Files The following are the MATLAB files used to generate the respective figure (directions). Note that I save the figures in eps format for the book.

	fig22.m		Fig 2.2
	fig24.m		Fig 2.4
	fig27.m		Fig 2.7
	fig29.m		Fig 2.9
	fig210.m		Fig 2.10
	fig214.m		Fig 2.14
	fig215.m		Fig 2.15
	fig216.m		Fig 2.16
	fig219.m		Fig 2.19
	fig221.m		Fig 2.21
	fig223.m		Fig 2.23
	fig224.m		Fig 2.24
	fig228.m		Fig 2.28
	fig228d.m		generates data for fig228.m
	fig228dd.m		generates data for fig228.m
	fig229.m		Fig 2.29
	parseArgs.m		needed for fig229.m
	subaxis.m		needed for fig229.m
	fig232.m		Fig 2.32
	fig234.m		Fig 2.34

Chapter 3: Multiple Scales

MATLAB Files The following are the MATLAB files used to generate the respective figure (directions). Note that I save the figures in eps format for the book.

	fig31.m		Fig 3.1
	fig32.m		Fig 3.2
	fig33.m		Fig 3.3
	fig312.m		Fig 3.12
	fig313.m		Fig 3.13
	fig314.m		Fig 3.14
	fisher1.txt		data for fig314,m
	fisher2.txt		data for fig314,m
	fig317.m		Fig 3.17
	parseArgs.m		needed for fig317.m
	subaxis.m		needed for fig317.m

Chapter 4: The WKB and Related Methods

MATLAB Files The following are the MATLAB files used to generate the respective figure (directions). Note that I save the figures in eps format for the book.

	fig41.m		Fig 4.1
	fig42.m		Fig 4.2
	fig42data.txt		data for fig42.m
	fig45a.m		Fig 4.5a
	fig45b.m		Fig 4.5b
	fig411.m		Fig 4.11
	fig415.m		Fig 4.15
	fig415data.txt		data for fig415.m
	fig417.m		Fig 4.17
	fig417num,txt		data for fig417.m
	fig417yl,txt		data for fig417.m
	fig417yr,txt		data for fig417.m

Chapter 5: The Method of Homogenization

MATLAB Files The following are the MATLAB files used to generate the respective figure (directions). Note that I save the figures in eps format for the book.

	fig52.m		Fig 5.2
	fig53.m		Fig 5.3
	fig54.m		Fig 5.4
	fig56.m		Fig 5.6

Chapter 6: Introduction to Bifurcation and Stability

MATLAB Files The following are the MATLAB files used to generate the respective figure (directions). Note that I save the figures in eps format for the book.

	fig62.m		Fig 6.2
	arrowhead.m		m file needed for Fig 6.2
	fig69.m		Fig 6.9
	fig610.m		Fig 6.10
	fig611.m		Fig 6.11
	fig612.m		Fig 6.12
	fix_lines.m		m file needed for Fig 6.12
	fig613.m		Fig 6.13
	fig615.m		Fig 6.15
	arrowhead.m		m file needed for Fig 6.15
	fig616.m		Fig 6.16
	fig618.m		Fig 6.18
	fig619.m		Fig 6.19
	fig621.m		Fig 6.21
	fig624.m		Fig 6.24
	data_10000.txt		data file needed for Fig 6.24
	data_1.txt		data file needed for Fig 6.24
	burgers.f		FORTRAN file used to create data for Fig 6.24
	fig625.m		Fig 6.25
	parseArgs.m		needed for fig625.m
	subaxis.m		needed for fig625.m

Appendices

MATLAB Files The following are the MATLAB files used to generate the respective figure (directions). Note that I save the figures in eps format for the book.

	figb1.m		Fig B.1
	figb2.m		Fig B.2
	parseArgs.m		needed for figb2.m
	subaxis.m		needed for figb2.m

Extras

The following are MATLAB files I wrote to solve BVPs problems. A short explanation is provided at the end of each file on how to use that particular code. (directions)

lbvp.m This code solves and then plots the solution of the linear BVP:

y'' + p(x)y' + q(x)y = f(x), for x in (xL , xR),

where a0*y(xL) + b0*y'(xL) = c0 and a1*y(xR) + b1*y'(xR) = c1

nbvp.m This code solves and then plots the solution of the nonlinear BVP:

y'' = f(x, y, y'), for x in (xL , xR),

where y(xL) = yL and y(xR) = yR

sbvp.m This code solves and then plots the solution of the nonlinear BVP:

ep*y'' = f(x, y, y', ep), for x in (xL , xR),

where y(xL) = yL and y(xR) = yR